Riemannian Geodesics - an Illustration from the Calculus of Variations

2017/03/13 by Uchechukwu Opara, Opara, Uchechukwu Michael
Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.1703.06430

openalex publication_date 2017/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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