A Fanning Scheme for the Parallel Transport Along Geodesics on Riemannian Manifolds Maxime Louis, Benjamin Charlier, Paul Jusselin, Susovan Pal, Stanley Durrleman
A Fanning Scheme for the Parallel Transport Along Geodesics on Riemannian Manifolds Maxime Louis, Benjamin Charlier, Paul Jusselin, Susovan Pal, Stanley Durrleman To cite this version: Maxime Louis, Benjamin Charlier, Paul Jusselin, Susovan Pal, Stanley Durrleman. A Fanning Scheme for the Parallel Transport Along Geodesics on Riemannian Manifolds. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2018, 56 (4), pp.2563-2584. 10.1137/17M1130617. hal-01560787v2 HAL Id: hal-01560787 https://hal.archives-ouvertes.fr/hal-01560787v2 Submitted on 24 Jul 2017 (v2), last revised 7 Jan 2019 (v3) HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. 1 A FANNING SCHEME FOR THE PARALLEL TRANSPORT ALONG 2 GEODESICS ON RIEMANNIAN MANIFOLDS 3 MAXIME LOUIS 1,2, BENJAMIN CHARLIER3,1,2, PAUL JUSSELIN4,1,2, SUSOVAN 4 PAL1,2, STANLEY DURRLEMAN1,2 5 1INRIA PARIS, ARAMIS PROJECT-TEAM, 75013, PARIS, FRANCE 6 2 SORBONNE UNIVERSITES,´ UPMC UNIV PARIS 06, INSERM, CNRS, INSTITUT DU 7 CERVEAU ET DE LA MOELLE (ICM) - HOPITALˆ PITIE-SALP´ ETRIˆ ERE,` BOULEVARD 8 DE L’HOPITAL,ˆ F-75013, PARIS, FRANCE 9 3INSTITUT MONTPELLIERAIN´ ALEXANDER GROTHENDIECK, CNRS, UNIV.
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