Makur Makuac Chinor, Mohamed Y. A. Bakhet, Abdelmajid Ali Dafallah
Abstract
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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.
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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.
Key concepts: Curvature of Riemannian manifolds, Riemannian geometry, Sectional curvature, Geometry, Scalar curvature, Fundamental theorem of Riemannian geometry, Geodesic, Gaussian curvature