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Abstract Book 14th International Geometry Symposium 25-28 May 2016 ABSTRACT BOOK Pamukkale University Denizli - TURKEY 1 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 14th International Geometry Symposium ABSTRACT BOOK 1 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 Proceedings of the 14th International Geometry Symposium Edited By: Dr. Şevket CİVELEK Dr. Cansel YORMAZ E-Published By: Pamukkale University Department of Mathematics Denizli, TURKEY All rights reserved. No part of this publication may be reproduced in any material form (including photocopying or storing in any medium by electronic means or whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright holder. Authors of papers in these proceedings are authorized to use their own material freely. Applications for the copyright holder’s written permission to reproduce any part of this publication should be addressed to: Assoc. Prof. Dr. Şevket CİVELEK Pamukkale University Department of Mathematics Denizli, TURKEY Email: [email protected] 2 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 Proceedings of the 14th International Geometry Symposium May 25-28, 2016 Denizli, Turkey. Jointly Organized by Pamukkale University Department of Mathematics Denizli, Turkey 3 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 PREFACE This volume comprises the abstracts of contributed papers presented at the 14th International Geometry Symposium, 14IGS 2016 held on May 25-28, 2016, in Denizli, Turkey. 14IGS 2016 is jointly organized by Department of Mathematics, Pamukkale University, Denizli, Turkey. The sysposium is aimed to provide a platform for Geometry and its applications. The sysposium is proposed to offer a motivating environment to encourage discussion and exchange of ideas leading to endorsement of geometric subjects and structures. This is a peer reviewed sysposium and all the papers included in the sysposium proceedings have been selected after a rigorous review process performed by the international Scientific committee. I would like to extend my appreciation to the International Advisory Committee, the International Scientific Committee and Local Organizing Committee for the devotion of their precious time, advice and hard work to prepare for this Sysposium. Appreciation is also due to our sponsors including Denizli Ticaret Odası, Ozan Tekstil, Denizli Sanayi Odası, Gamateks, Denizli Valiliği, Pamukklae Belediyesi, Denizli İhracatcılar Birliği, Denizli Ticaret Borsası, Murat Eğitim Kurumları, Pamukkale University and Colossae Thermal Hotel. I would like to acknowledge and give special appreciation to our invited speakers who are Prof. Dr. H. Hilmi HACISALİHOĞLU, Prof. Dr. Ali GÖRGÜLÜ, Prof. Dr. Osman GÜRSOY, Prof. Dr. Cengizhan MURATHAN, Prof. Dr. Gennadi SARDANASHVILY, Prof. Dr. Manuel De LEON, Prof. Dr. Mukut Mani TRIPATHI, Prof. Dr. Uday CHAND DE and Prof. Dr. Ioan BUCATARU for their valuable contribution, our delegates for being with us and sharing their experiences and our invitees for participating in 14IGS 2016, Denizli, Turkey. Assoc. Prof. Dr. Şevket CİVELEK Head of Organizing Committee 4 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 TABLE OF CONTENTS CONTENTS PAGE HONARARY CHAIRMANS 12 Prof. Dr. Hüseyin BAĞCI Rector Prof. Dr. H. Hilmi HACISALİHOĞLU ORGANIZING COMMITTEE CHAIRMAN 12 Assoc. Prof. Dr. Şevket CİVELEK ORGANIZING COMMITTEE 12 SCIENTIFIC COMMITTEE 12 ADVISORY COMMITTEE 15 SECRETERIA Assoc. Prof. Dr. Cansel YORMAZ Assoc. Prof. Dr. Serpil HALICI 15 WEB DESINGNER Alper ÇAKIR 15 SPONSORS 17 INVITED SPEAKERS 20 “On The Fractals in Spider Network” Prof. Dr. H. Hilmi HACISALİHOĞLU 24 “On the Line Geometry” Prof. Dr. Osman GÜRSOY 25 “Mystery Behind the Contact Structure” Prof. Dr. Cengizhan MURATHAN 26 “The Differential Calculus on N-Graded Manifolds” Prof. Dr. Gennadi SARDANASHVILY 27 “Noether’s Theorems in a General Setting” Prof. Dr. Gennadi SARDANASHVILY 28 “The Geometry of the Hamilton-Jacobi Equation” Prof. Dr. Manuel de LEON 29 “Inequalities for Algebraic Casorati Curvatures and their Applications” 30 Prof. Dr. Mukut Mani TRIPATHI ABSTRACTS OF ORAL PRESENTATIONS 31 Lagrange Mechanical Systems on the Walker Manifolds and killing Magnetic Curves 32 Şevket CİVELEK Hamiltonian Energy Systems On Supermanifolds Cansel YORMAZ, Simge ŞİMŞEK 33 On Geometry of Quaternions whose Coefficients Fibonacci Numbers Serpil HALICI Şule ÇÜRÜK 34 Vector Matrix Representation of Octonions Serpil HALICI, Adnan KARATAŞ 35 On the Involute Supercurves Cumali EKİCİ, Cansel YORMAZ , Hatice TOZAK 36 On conharmonically flat Sasakian Finsler structures on tangent bundles Nesrin ÇALIŞKAN 37 Weyl-Euler-Lagrange Equations on Twistor Space for Tangent Structure Zeki KASAP 38 Spherical Circles Taxicab Süleyman YÜKSEL 39 Characterizations for new partner curves in the Euclidean 3-space Onur KAYA Mehmet ÖNDER 40 Some Notes on Almost Lorentzian r-Paracontact Structures on Tangent Bundle Haşim ÇAYIR 41 Some Relationships between Darboux and Typ-2 Bishop Frames Defined on Surface in Euclidean 3- 42 space Amine YILMAZ Emin ÖZYILMAZ A new Type of Almost Contact Manifolds Gülhan AYAR Alfonso CARRIAZO Nesip AKTAN 43 Geodesics on the Tangent Sphere Bundle of Pseudo Riemannian 3-Sphere İsmet AYHAN 44 Semi-Slant Riemannian Submersions From Locally Product Riemannian Manifolds 45 Hakan Mete TAŞTAN, Fatma ÖZDEMİR , Cem SAYAR On A New Type Of Framed Manifolds Nesip AKTAN Mustafa YILDIRIM Yavuz Selim BALKAN 46 Euler-Lagrange and Hamilton-Jacobi Equations on a Riemann Almost Contact Model of a Cartan 47 Space of order k Ahmet MOLLAOĞULLARI, Mehmet TEKKOYUN On Isotropic Leaves of Lightlike Hypersurfaces Mehmet GÜLBAHAR 48 Some Characterizations For Complex Lightlike Hypersurfaces 49 Erol KILIÇ Mehmet GÜLBAHAR Sadık KELEŞ 5 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 A compactness theorem by use of m-Bakry-Emery Ricci tensor 50 Yasemin SOYLU Murat LİMONCU A Special Connection On 3-Dimensional Quasi-Sasakian Manifolds 51 Azime ÇETİNKAYA AHMET YILDIZ Getting an Hyperbolical Rotation Matrix by Using Householder’s Method in 3-Dimensional Space 52 Hakan ŞİMŞEK Mustafa ÖZDEMİR Timelike Translation Surfaces According To Bishop Frame In Minkowski 3-Space 53 Zehra EKİNCİ Melike YAĞCI Hasimoto Surfaces in Minkowski 3-Space with Parallel Frame 54 Melek ERDOĞDUİ Mustafa ÖZDEMİRI On the Line Congruences Ferhat TAŞ 55 Minimal Surfaces and Harmonic Mappings Hakan Mete TAŞTAN, Sibel GERDAN 56 Cubical Cohomology Groups of Digital Images Özgür EGE 57 Ruled Surface Reconstruction in Euclidean Space Mustafa DEDE, Cumali EKİCİ 58 On the spacelike parallel ruled surfaces with Darboux frame Muradiye ÇİMDİKER Cumali EKİCİ 59 On Triakis Octahedron Metric and Its Isometry Group Gürol BOZKURT Temel ERMİŞ 60 Umbilic Surfaces in Lorentz 3-Space Esma DEMİR ÇETİN Yusuf YAYLI 61 On the Mannheim curves in the three-dimensional sphere Tanju KAHRAMAN Mehmet ÖNDER 62 Complete lift s of tensor Fields of Type (1,1) on Cross-Section in a Special Class of Semi Cotangent 63 Bundles Furkan YILDIRIM, Kürşat AKBULUT Notes On The Curves According To Type-I Bishop Frame in Euclidean Plane 64 Süha YILMAZ Yasin ÜNLÜTÜRK Semi-invariant semi-Riemannian submersions from para-Kahler manifolds 65 Yılmaz GÜNDÜZALP Mehmet Akif AKYOL Lagrangian Dynamics on Matched Pairs Oğul ESEN Serkan SÜTLÜ 66 Reduction of Tulczyjew’s Triplet Oğul ESEN Hasan GÜMRAL 67 Spherical Motions And Dual Frenet Formulas Aydın ALTUN 68 The Timelike Bezier Spline in Minkowski 3 Space 69 Hatice KUŞAK SAMANCI Özgür BOYACIOĞLU KALKAN Serkan ÇELİK The Geometric Approach of Yarn Surface and Weft Knitted Fabric 70 Hatice KUŞAK SAMANCI Filiz YAĞCI Ali ÇALIŞKAN Some Solutions of the Non-minimally coupled electromagnetic fields to gravity Özcan SERT 71 Differantial Equations of Motion Objects with An Almost Paracontact Metric Structure 72 Oğuzhan ÇELİK Zeki KASAP Characterizations of Some Special Time-like Curves In Lorentzian Plane 73 Abdullah MAĞDEN Süha YILMAZ Yasin ÜNLÜTÜRK Contributions to Differential Geometry of Space-like Curves In Lorentzian Plane 74 Yasin ÜNLÜTÜRK Süha YILMAZ n1 75 On The Massey Theorem in E Cumali EKİCİ and Ali GÖRGÜLÜ Statistical Manifolds: New Approaches and Results Muhittin Evren AYDIN Mahmut ERGUT 76 Similarity and Semi-similarity Relations on Generalized Quaternions Abdullah İNALCIK 77 Examples of Curves which Spherical Indicatrices are Spherical Conics 78 Mesut ALTINOK Levent KULA On The Special Smarandache Curves Pelin POŞPOŞ TEKİN Erdal ÖZÜSAĞLAM 79 On Generalized Beltrami Surfaces in Euclidean Spaces 80 Didem KOSOVA Kadri ARSLAN Betül BULCA On the second order involute curves in 퐸3 Şeyda KILIÇOĞLU Süleyman ŞENYURT 81 4 Rational Surfaces Generated From The Split Quaternion Product of Two Rational Space Curves in 퐸2 82 Veysel Kıvanç KARAKAŞ Levent KULA Mesut ALTINOK Contact Pseudo-Slant Submanifolds of a Kenmotsu Manifold 83 Süleyman DİRİK Mehmet ATÇEKEN Ümit YILDIRIM 6 14th International Geometry Symposium Pamukkale University Denizli/TURKEY 25-28 May 2016 f-Biharmonicity Conditions for Curves Fatma KARACA Cihan ÖZGÜR 84 Rotational Surfaces in 3-Dimensional Isotropic Space Alper Osman ÖRENMİŞ 85 On the Generalization of Geometric Design and Analysis of a MMD Machine 86 Engin CAN Hellmuth STACHEL About The Generated Spacelike Bezier Spline with a Spacelike
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