English

Riemannian Geodesics - an Illustration from the Calculus of Variations

General Mathematics 2017-03-21 v1

Abstract

This paper sheds light on the essential characteristics of geodesics, which frequently occur in considerations from motion in Euclidean space. Focus is mainly on a method of obtaining them from the calculus of variations, and an explicit geodesic computation for a Riemannian hypersurface.

Keywords

Cite

@article{arxiv.1703.06430,
  title  = {Riemannian Geodesics - an Illustration from the Calculus of Variations},
  author = {Uchechukwu Michael Opara},
  journal= {arXiv preprint arXiv:1703.06430},
  year   = {2017}
}

Comments

15 pages, 1 figure, excerpt from Lambert Academic Publishing book published by the same author