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. Joint undergraduate/graduate course - MAT464H1/MAT1342H Prerequisite MAT367H1 Breadth Requirements The Physical and Mathematical Universes (5)
