Riemannian Geometry

0.5 credits · Undergraduate

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. Joint undergraduate/graduate course - MAT464H1 /MAT1342H