Geometry of Manifolds (II)
- .Riemannian metric, Riemannian geometry, Discrete Riemannian metric, An extension of Riemannian metric known as Finsler metric, Linear connection, Riemannian connection, Gaussian curvature, Riemannian curvature, Ricci curvature Ricci flow and its applications Analysis on . manifolds including geodesics exponential map etc. some topics on Discrete geometry and its applications
- Application of Connections for Artificial Inteligence
4.1 Affine Connections
4.1.1 Parallel Transport
4.1.2 Covariant Derivative
4.2 Christoffel Symbols
4.2.1 Definition and Properties
4.2.2 Connection Coefficients and Curvature
4.3 Levi-Civita Connection
4.3.1 Metric Compatibility
4.3.2 Geodesics and Curvature