MINIMAL SURFACES

COMPILEDBY HOJOO LEE ([email protected])

LAST UPDATED ON 15 JUNE 2017.

56 Books + 25 ICM Reports + 41 Expository Articles & Surveys

RIEMANN’S MINIMAL SURFACEIN R3. http://www.indiana.edu/˜minimal/archive/

1 2 MINIMALSURFACES I.BOOKS &MONOGRAPHS

2012 A theory of branched minimal surfaces Tromba, Anthony Springer Monographs in Mathematics. Springer, Heidelberg, 2012. x+191 pp.

2011 A course in minimal surfaces Colding, Tobias Holck; Minicozzi, William P., II Graduate Studies in Mathematics, 121. American Mathematical Society, Providence, RI, 2011. xii+313 pp.

2011 Minimal submanifolds in pseudo-Riemannian geometry. Anciaux, Henri With a foreword by F. Urbano. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2011. xvi+167 pp.

2010 Discrete constant mean curvature surfaces via conserved quanti- ties Rossman, Wayne COE Lecture Note, 25. Math-for-Industry Lecture Note Series. Kyushu University, Fac- ulty of Mathematics, Fukuoka, 2010.

2010 Geometric measure theory and minimal surfaces Bombieri, E. (Ed.) Lectures from the Centro Internazionale Matematico Estivo (C.I.M.E.) Summer School held in Varenna, August 24 – September 2, 1972. Edited by E. Bombieri. Reprint of the 1973 original. Centro Internazionale Matematico Estivo (C.I.M.E.) Summer Schools, 61. Springer, Heidelberg; Fondazione C.I.M.E., Florence, 2010. iv+230 pp. MINIMALSURFACES 3

2010 Global analysis of minimal surfaces Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J. Revised and enlarged second edition. Grundlehren der Mathematischen Wissenschaften, 341. Springer, Heidelberg, 2010. xvi+537 pp.

2010 Minimal surfaces Dierkes, Ulrich; Hildebrandt, Stefan; Sauvigny, Friedrich Revised and enlarged second edition. With assistance and contributions by A. Kuster¨ and R. Jakob. Grundlehren der Mathe- matischen Wissenschaften, 339. Springer, Heidelberg, 2010. xvi+688 pp.

2010 Regularity of minimal surfaces Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J. Revised and enlarged second edition. With assistance and contributions by A. Kuster.¨ Grundlehren der Mathematischen Wis- senschaften, 340. Springer, Heidelberg, 2010. xviii+623 pp.

2007 Differentialgeometrie und Minimalfl¨achen (Differential geometry and minimal surfaces) Eschenburg, Jost-Hinrich; Jost, Jurgen¨ Second edition. Springer, Berlin, 2007. xvi+256 pp.

2006 Finiteness of the set of solutions of Plateau’s problem for polyg- onal boundary curves Jakob, Ruben Bonner Mathematische Schriften, 379. Universitat¨ Bonn, Mathematisches Institut, Bonn, 2006. iv+95 pp. 4 MINIMALSURFACES

2003 Minimal submanifolds and related topics Xin, Yuanlong Nankai Tracts in Mathematics, 8. World Scientific Publishing Co., Inc., River Edge, NJ, 2003. viii+262 pp.

2003 Surfaces with constant mean curvature Kenmotsu, Katsuei Translated from the 2000 Japanese original by Katsuhiro Moriya and revised by the au- thor. Translations of Mathematical Monographs, 221. American Mathematical Society, Providence, RI, 2003. x+142 pp.

2002 Minimal surfaces, geometric analysis and symplectic geometry Edited by Kenji Fukaya, Seiki Nishikawa and Joel Spruck Papers from the workshop and conference held at Johns Hopkins University, Baltimore, MD, March 1621, 1999. Edited by Kenji Fukaya, Seiki Nishikawa and Joel Spruck. Ad- vanced Studies in Pure Mathematics, 34. Mathematical Society of Japan, Tokyo, 2002. vi+259 pp.

2001 Constant mean curvature surfaces, harmonic maps and inte- grable systems Helein,´ Fred´ eric´ Notes taken by Roger Moser. Lectures in Mathematics ETH Zurich.¨ Birkhauser¨ Verlag, Basel, 2001. 122 pp.

2001 Global theory of minimal surfaces Edited by David Hoffman Proceedings of the Clay Mathematical Institute Summer School held in Berkeley, CA, June 25–July 27, 2001. Edited by David Hoffman. Clay Mathematics Proceedings, 2. American Mathematical Society, Providence, RI; Clay Mathematics Institute, Cam- bridge, MA, 2005. xii+800 pp. MINIMALSURFACES 5

2001 Plateau’s problem. An invitation to varifold geometry Almgren, Frederick J., Jr. Corrected reprint of the 1966 original. With forewords by Jean E. Taylor and Robert Gunning, and Hugo Rossi. Student Math- ematical Library, 13. American Mathematical Society, Providence, RI, 2001. xvi+78 pp.

2000 The mathematics of soap films: explorations with Maple Oprea, John Student Mathematical Library, 10. American Mathematical Society, Providence, RI, 2000. xiv+266 pp.

1997 Corso introduttivo alla teoria geometrica della misura ed alle superfici minime (Introduction to geometric measure theory and minimal surfaces) Ambrosio, Luigi Appunti dei Corsi Tenuti da Docenti della Scuola. Scuola Normale Superiore, Pisa, 1997. ii+144 pp.

1997 Geometry. V. Minimal surfaces Edited by Robert Osserman Encyclopaedia of Mathematical Sciences, 90. Springer-Verlag, Berlin, 1997. viii+272 pp.

1996 Lectures on minimal surfaces in R3 Fang, Yi Proceedings of the Centre for Mathematics and its Applications, Australian National University, 35. Australian National University, Centre for Mathematics and its Applica- tions, Canberra, 1996. ii+176 pp. 6 MINIMALSURFACES

1995 The index theorem for minimal surfaces of higher genus Tomi, Friedrich; Tromba, Anthony J. Mem. Amer. Math. Soc. 117 (1995), no. 560, vi+78 pp.

1994 Complete minimal surfaces of finite total curvature. Yang, Kichoon Mathematics and its Applications, 294. Kluwer Academic Publishers Group, Dordrecht, 1994. viii+157 pp.

1993 Minimal surfaces Edited by A. T. Fomenko. Translated from the Russian. Translation edited by A. B. Sossinsky. Advances in Soviet Mathematics, 15. American Mathematical Society, Providence, RI, 1993. x+342 pp.

1993 Minimal surfaces in Riemannian manifolds Ji, Min; Wang, Guang Yin Mem. Amer. Math. Soc. 104 (1993), no. 495, vi+50 pp.

1993 Value distribution theory of the Gauss map of minimal surfaces in Rm Fujimoto, Hirotaka Aspects of Mathematics, E21. Friedr. Vieweg & Sohn, Braunschweig, 1993. xiv+207 pp. MINIMALSURFACES 7

1992 Constant mean curvature immersions of Enneper type Wente, Henry C. Mem. Amer. Math. Soc. 100 (1992), no. 478, vi+77 pp.

1992 The problem of Plateau. A tribute to Jesse Douglas & Tibor Rad´o. Edited by Themistocles M. Rassias World Scientific Publishing Co., Inc., River Edge, NJ, 1992. x+335 pp.

1991 A sufficient criterion for a cone to be area-minimizing Lawlor, Gary R. Mem. Amer. Math. Soc. 91 (1991), no. 446, vi+111 pp.

1991 Elements of the geometry and topology of minimal surfaces in three-dimensional space Fomenko, A. T.; Tuzhilin, A. A. Translated from the Russian by E. J. F. Primrose. Translations of Mathematical Mono- graphs, 93. American Mathematical Society, Providence, RI, 1991. viii+142 pp.

1991 Minimal surfaces, stratified multivarifolds, and the Plateau prob- lem Dao Trong Thi; Fomenko, A. T. Translated from the Russian by E. J. F. Primrose. Translations of Mathematical Mono- graphs, 84. American Mathematical Society, Providence, RI, 1991. x+404 pp. 8 MINIMALSURFACES

1990 The Plateau problem. Part I. Historical survey. Fomenko, A. T. Translated from the Russian. Studies in the Development of Modern Mathematics, 1. Gordon and Breach Science Publishers, New York, 1990. xii+220 pp.

1990 The Plateau problem. Part II. The present state of the theory. Fomenko, A. T. Translated from the Russian. Studies in the Development of Modern Mathematics, 1. Gordon and Breach Science Publishers, New York, 1990. xii+251 pp.

1990 Variational principles of topology. Multidimensional minimal surface theory Fomenko, A. T. Kluwer Academic Publishers, Dordrecht, Boston, and London, 1990, 374 pp.

1989 Complete and compact minimal surfaces Yang, Kichoon Mathematics and its Applications, 54. Kluwer Academic Publishers Group, Dordrecht, 1989. xii+175 pp.

1989 Lectures on minimal surfaces. Vol. 1. Introduction, fundamentals, geometry and basic boundary value problems. Nitsche, Johannes C. C. Translated from the German by Jerry M. Feinberg. With a German foreword. Cambridge University Press, Cambridge, 1989. xxvi+563 pp. MINIMALSURFACES 9

1988 Existence theorems for minimal surfaces of nonzero genus span- ning a contour Tomi, Friedrich; Tromba, Anthony J. Mem. Amer. Math. Soc. 71 (1988), no. 382, iv+83 pp.

1988 Plateau’s problem and the calculus of variations Struwe, Michael Mathematical Notes, 35. Princeton University Press, Princeton, NJ, 1988. x+148 pp.

1987 Monopoles, minimal surfaces and algebraic curves Hitchin, Nigel Seminaire´ de Mathematiques´ Superieures,´ 105. Presses de l’Universite´ de Montreal,´ Montreal, QC, 1987. 94 pp.

1986 A survey of minimal surfaces Osserman, Robert Second edition. Dover Publications, Inc., New York, 1986. vi+207 pp.

1986 Explicit determination of area minimizing hypersurfaces. II Parks, Harold R. Mem. Amer. Math. Soc. 60 (1986), no. 342, iv+90 pp. 10 MINIMAL SURFACES

1986 Equilibrium capillary surfaces Finn, Robert Grundlehren der Mathematischen Wissenschaften, 284. Springer-Verlag, New York, 1986. xvi+245 pp.

1986 Minimal surfaces in R3 Barbosa, J. Lucas M.; Colares, A. Gervasio Translated from the Portuguese. Lecture Notes in Mathematics, 1195. Springer-Verlag, Berlin, 1986. x+124 pp.

1986 Seminar on geometric measure theory Hardt, Robert; Simon, Leon DMV Seminar, 7. Birkhuser Verlag, Basel, 1986. 117 pp.

1984 Minimal surfaces and functions of bounded variation Giusti, Enrico Monographs in Mathematics, 80. Birkhauser¨ Verlag, Basel, 1984. xii+240 pp.

1984 Minimal surfaces of codimension one Massari, Umberto; Miranda, Mario North-Holland Mathematics Studies, 91. Notas de Matematica,´ 95. North-Holland Pub- lishing Co., Amsterdam, 1984. xiii+243 pp. MINIMAL SURFACES 11

1983 Lectures on geometric measure theory Simon, Leon Proceedings of the Centre for Mathematical Analysis, Australian National University, 3. Australian National University, Centre for Mathematical Analysis, Canberra, 1983. vii+272 pp.

1983 Seminar on minimal submanifolds Edited by Enrico Bombieri Annals of Mathematics Studies, 103. Princeton University Press, Princeton, NJ, 1983. vii+358 pp.

1981 Existence and regularity of minimal surfaces on Riemannian manifolds Pitts, Jon T. Mathematical Notes, 27. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1981. iv+330 pp.

1980 Lectures on minimal submanifolds. Vol. I. Lawson, H. Blaine, Jr. Second edition. Mathematics Lecture Series, 9. Publish or Perish, Inc., Wilmington, Del., 1980. iv+178 pp.

1980 The geometry of the generalized Gauss map Hoffman, David A.; Osserman, Robert Mem. Amer. Math. Soc. 28 (1980), no. 236, iii+105 pp. 12 MINIMAL SURFACES

1979 Minimal submanifolds and geodesics Edited by Morio Obata Proceedings of the Japan-United States Seminar held in Tokyo, September 19–22, 1977. Edited by Morio Obata. North-Holland Publishing Co., Amsterdam-New York, 1979. x+292 pp.

1977 Dirichlet’s principle, conformal mapping, and minimal surfaces. Courant, Richard Reprint of the 1950 original. With an appendix by M. Schiffer. Springer-Verlag, New York-Heidelberg, 1977. xi+332 pp.

1977 On the number of simply connected minimal surfaces spanning a curve Tromba, A. J. Mem. Amer. Math. Soc. 12 (1977), no. 194, v+121 pp.

1976 Existence and regularity almost everywhere of solutions to ellip- tic variational problems with constraints Almgren, F. J., Jr. Mem. Amer. Math. Soc. 4 (1976), no. 165, viii+199 pp.

1971 On the problem of Plateau. Subharmonic functions Rado,´ Tibor Reprint. Springer-Verlag, New York-Heidelberg, 1971. iv+109+v+56 pp. MINIMAL SURFACES 13

1968 Minimal submanifolds in a Riemannian manifold Chern, Shiing-Shen University of Kansas, Department of Mathematics Technical Report 19 (New Series) Univ. of Kansas, Lawrence, Kan. 1968 iii+58 pp. 14 MINIMAL SURFACES II.PROCEEDINGSOFTHE INTERNATIONAL CONGRESSOF MATHEMATICIANS

2010 Constant mean curvature surfaces in 3-dimensional Thurston ge- ometries Fernadez,´ Isabel; Mira, Pablo Proceedings of the International Congress of Mathematicians. Volume II, 830–861, Hin- dustan Book Agency, New Delhi, 2010.

2010 New entire solutions to some classical semilinear elliptic prob- lems del Pino, Manuel Proceedings of the International Congress of Mathematicians. Volume III, 1934–1957, Hindustan Book Agency, New Delhi, 2010.

2010 Metaphors in systolic geometry Guth, Larry Proceedings of the International Congress of Mathematicians. Volume II, 745–768, Hin- dustan Book Agency, New Delhi, 2010.

2010 Riemannian manifolds of positive curvature Brendle, Simon; Schoen, Richard Proceedings of the International Congress of Mathematicians. Volume I, 449–475, Hin- dustan Book Agency, New Delhi, 2010.

2006 Embedded minimal surfaces Minicozzi, William P., II International Congress of Mathematicians. Vol. II, 853–877, Eur. Math. Soc., Zurich,¨ 2006. MINIMAL SURFACES 15

2006 Properly embedded minimal surfaces with finite topology Ros, Antonio International Congress of Mathematicians. Vol. II, 907–926, Eur. Math. Soc., Zurich,¨ 2006.

2006 Symmetry of entire solutions for a class of semilinear elliptic equations Savin, Ovidiu International Congress of Mathematicians. Vol. III, 257–265, Eur. Math. Soc., Zurich,¨ 2006.

2002 Evolution of curves and surfaces by mean curvature White, Brian Proceedings of the International Congress of Mathematicians, Vol. I (Beijing, 2002), 525– 538, Higher Ed. Press, Beijing, 2002.

2002 Geometry and nonlinear analysis Tian, Gang Proceedings of the International Congress of Mathematicians, Vol. I (Beijing, 2002), 525– 538, Higher Ed. Press, Beijing, 2002.

2002 Phenomena of compensation and estimates for partial differen- tial equations Helein,´ Fred´ eric´ Proceedings of the International Congress of Mathematicians, Vol. III (Berlin, 1998). Doc. Math. 1998, Extra Vol. III, 2130 (electronic). 16 MINIMAL SURFACES

2002 Evolution of hypersurfaces by their curvature in Riemannian manifolds Huisken, Gerhard Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Doc. Math. 1998, Extra Vol. II, 349360 (electronic).

2002 Black holes and the Penrose inequality in general relativity Bray, Hubert L. Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 257– 271, Higher Ed. Press, Beijing, 2002.

2002 Positively curved surfaces in the three-sphere Andrews, B. Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 221– 230, Higher Ed. Press, Beijing, 2002.

1995 Constant mean curvature surfaces in Euclidean spaces Kapouleas, Nikolaos Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zrich, 1994), 481490, Birkhuser, Basel, 1995.

1987 Immersed tori of constant mean curvature in R3 Wente, Henry C. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 565573, Amer. Math. Soc., Providence, RI, 1987. MINIMAL SURFACES 17

1987 Recent progress on the classical problem of Plateau Tromba, A. J. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 1133–1142, Amer. Math. Soc., Providence, RI, 1987.

1987 Two-dimensional geometric variational problems Jost, Jurgen¨ Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 1094–1100, Amer. Math. Soc., Providence, RI, 1987.

1987 Recent progress on the geometry of surfaces in R3 and on the use of computer graphics as a research tool Meeks, W. H., III Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 551–560, Amer. Math. Soc., Providence, RI, 1987.

1984 Recent developments in the theory of minimal surfaces Simon, Leon Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), 579–584, PWN, Warsaw, 1984.

1984 Minimal surfaces and positive scalar curvature Schoen, Richard M. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), 575–578, PWN, Warsaw, 1984. 18 MINIMAL SURFACES

1980 Minimal surfaces: tangent cones, singularities, and topological types Almgren, F. J., Jr. Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 767770, Acad. Sci. Fennica, Helsinki, 1980.

1980 Minimal surfaces: stability and finiteness do Carmo, Manfredo P. Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 401405, Acad. Sci. Fennica, Helsinki, 1980.

1975 Variational problems and elliptic equations Bombieri, Enrico Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), Vol. 1, pp. 5363. Canad. Math. Congress, Montreal, Que., 1975.

1974 Elliptic variational inequalities Kinderlehrer, David Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), Vol. 2, pp. 269273. Canad. Math. Congress, Montreal, Que., 1975.

1952 Singularities of minimal surfaces Bers, Lipman Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, vol. 2, pp. 157164. Amer. Math. Soc., Providence, R. I., 1952. MINIMAL SURFACES 19

III.SURVEYS &EXPOSITORY ARTICLES

2017 A New Golden Age of Minimal Surfaces Perez,´ Joaqu´ın Notices Amer. Math. Soc. 64 (2017), no. 4, 347 - 357.

2011 Minimal surfaces and mean curvature flow Colding, Tobias H.; Minicozzi, William P., II Surveys in geometric analysis and relativity, 73–143, Adv. Lect. Math. (ALM), 20, Int. Press, Somerville, MA, 2011.

2011 The classical theory of minimal surfaces Meeks, William H., III; Perez,´ Joaqu´ın Bull. Amer. Math. Soc. (N.S.) 48 (2011), no. 3, 325–407.

2011 The Story of Gyrangle Sarhangi, Reza Notices Amer. Math. Soc. 58 (2011), no. 5, 656–666.

2010 Surfaces with constant mean curvature in Euclidean space Lopez,´ Rafael Int. Electron. J. Geom. 3 (2010), no. 2, 67–101.

2009 Manifolds with density and Perelman’s proof of the Poincar con- jecture Morgan, Frank Amer. Math. Monthly 116 (2009), no. 2, 134–142.

2008 About the cover: the work of Jesse Douglas on minimal surfaces Gray, Jeremy; Micallef, Mario Bull. Amer. Math. Soc. (N.S.) 45 (2008), no. 2, 293–302. 20 MINIMAL SURFACES

2003 Disks that are double spiral staircases Colding, Tobias H.; Minicozzi, William P., II Notices Amer. Math. Soc. 50 (2003), no. 3, 327–339.

2003 Mean curvature and asymptotic volume of small balls. Hulin, Dominique; Troyanov, Marc Amer. Math. Monthly 110 (2003), no. 10, 947–950.

2003 Some mathematical challenges in materials science Taylor, Jean E. Bull. Amer. Math. Soc. (N.S.) 40 (2003), no. 1, 69–87.

2002 Eight remarkable properties of capillary surfaces Finn, Robert Math. Intelligencer 24 (2002), no. 3, 21–33.

2002 Some updates on isoperimetric problems Ritore,´ Manuel; Ros, Antonio Math. Intelligencer 24 (2002), no. 3, 9–14 .

1999 Capillary surface interfaces Finn, Robert Notices Amer. Math. Soc. 46 (1999), no. 7, 770–781 . MINIMAL SURFACES 21

1999 Complete minimal surfaces in R3 Lopez,´ Francisco J.; Mart´ın, Francisco Publ. Mat. 43 (1999), no. 2, 341–449.

1999 The visualization of mathematics: towards a mathematical ex- ploratorium Palais, Richard S. Notices Amer. Math. Soc. 46 (1999), no. 6, 647–658.

1998 Algorithmic recognition of 3-manifolds Thompson, Abigail Bull. Amer. Math. Soc. (N.S.) 35 (1998), no. 1, 57–66.

1998 The mathematics of Lars Valerian Ahlfors. Gehring, Frederick; Kra, Irwin; Osserman, Robert Notices Amer. Math. Soc. 45 (1998), no. 2, 233–242.

1997 The mathematics of F. J. Almgren Jr. White, Brian Notices Amer. Math. Soc. 44 (1997), no. 11, 1451–1456.

1996 Soap bubble clusters Almgren, Fred; Taylor, Jean E. Forma 11 (1996), no. 3, 199–207. 22 MINIMAL SURFACES

1996 Open problems in soap bubble geometry Sullivan, John M.; Morgan, Frank Internat. J. Math. 7 (1996), no. 6, 833–842.

1994 Mathematicians, including undergraduates, look at soap bubbles Morgan, Frank Amer. Math. Monthly 101 (1994), no. 4, 343–351.

1992 Minimal surfaces, crystals, shortest networks, and undergradu- ate research Morgan, Frank Math. Intelligencer 14 (1992), no. 3, 37–44.

1992 Minimal surfaces Cliborn, James H.; Jordan, Blake Amer. Math. Monthly 99 (1992), no. 4, 376.

1992 Some recent developments in the theory of properly embedded minimal surfaces in R3 Rosenberg, Harold Seminaire´ Bourbaki, Vol. 1991/92. Asterisque´ No. 206 (1992), Exp. No. 759, 5, 463–535.

1990 Curvature in the eighties Osserman, Robert Amer. Math. Monthly 97 (1990), no. 8, 731–756. MINIMAL SURFACES 23

1990 Minimal surfaces based on the catenoid Hoffman, David; Meeks, William H., III Amer. Math. Monthly 97 (1990), no. 8, 702–730.

1989 The calculus of variations today Hildebrandt, Stefan Translated from the German by A. Shenitzer. Math. Intelligencer 11 (1989), no. 4, 50–60.

1989 Some recent developments in differential geometry White, Brian Math. Intelligencer 11 (1989), no. 4, 41–47.

1988 Area-minimizing surfaces, faces of Grassmannians, and calibra- tions Morgan, Frank Amer. Math. Monthly 95 (1988), no. 9, 813–822.

1987 The computer-aided discovery of new embedded minimal sur- faces Hoffman, David Math. Intelligencer 9 (1987), no. 3, 8–21.

1987 Willmore surfaces Pinkall, U.; Sterling, I. Math. Intelligencer 9 (1987), no. 2, 38–43. 24 MINIMAL SURFACES

1987 The surfaces of Delaunay Eells, James Math. Intelligencer 9 (1987), no. 1, 53–57.

1983/84Minimum-area surfaces, soap films and soap bubbles Isenberg, Cyril Math. Spectrum 16 (1983/84), no. 3, 85–93.

1982 Mean curvature, the Laplacian, and soap bubbles Reilly, Robert C. Amer. Math. Monthly 89 (1982), no. 3, 180–188, 197–198.

1982 Minimal surface forms Almgren, F. J., Jr. Math. Intelligencer 4 (1982), no. 4, 164–172.

1981 A survey of the geometric results in the classical theory of mini- mal surfaces Meeks, William H., III Bol. Soc. Brasil. Mat. 12 (1981), no. 1, 29–86.

1981 Elementary characterization of classical minima Hrusa, W.; Troutman, J. L. Amer. Math. Monthly 88 (1981), no. 5, 321–327. MINIMAL SURFACES 25

1974 Plateau’s problems and their modern ramifications Nitsche, Johannes C. C. Amer. Math. Monthly 81 (1974), 945–968.

1965 On new results in the theory of minimal surfaces Nitsche, Johannes C. C. Bull. Amer. Math. Soc. 71 (1965) 195–270.

1959 A remark on Enneper’s minimal surface Nitsche, Johannes C. C. Amer. Math. Monthly 66 (1959) 295–297.

1940 Soap film experiments with minimal surfaces Courant, Richard Amer. Math. Monthly 47, (1940). 167–174.

HOJOO LEE E-mail address: [email protected]