MAT464H1: Riemannian Geometry

Hours: 
36L

Riemannian metrics. Levi-Civita connection. Geodesics. Exponential map. Second fundamental form. Complete manifolds and Hopf-Rinow theorem. Curvature tensors. Ricci curvature and scalar curvature. Spaces of constant curvature.

Prerequisite: 
Distribution Requirements: 
Science
Breadth Requirements: 
The Physical and Mathematical Universes (5)