English

Finding Geodesics on Surfaces Using Taylor Expansion of Exponential Map

Differential Geometry 2021-11-29 v1

Abstract

Our aim in this paper is to construct a numerical algorithm using Taylor expansion of exponential map to find geodesic joining two points on a 2-dimensional surface for which a Riemannian metric is defined

Keywords

Cite

@article{arxiv.2111.13596,
  title  = {Finding Geodesics on Surfaces Using Taylor Expansion of Exponential Map},
  author = {Esmaeil Peyghan and Esa Sharahi and Amir Baghban},
  journal= {arXiv preprint arXiv:2111.13596},
  year   = {2021}
}
R2 v1 2026-06-24T07:53:17.880Z