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Research Article Open access CC BY 4.0

On Some Role of Riemannian Geometry

Makur Makuac Chinor, Mohamed Y. A. Bakhet, Abdelmajid Ali Dafallah

Asian Research Journal of Mathematics · pp. 51–60 · Published 25 Mar 2023

10.9734/arjom/2023/v19i5659

Abstract

This paper examines the mathematical significance of Riemannian geometry, including surfaces, Riemannian curvature, Gauss curvature, manifolds, geodesics, and the relationships between them. It also explores the applications of Riemannian geometry in various concepts.

Topological manifolds Riemannian geometry Riemannian curvature Gauss curvature Riemannian manifolds Lie Algebra Geodesics

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