Course Detail
Units:
3.0
Course Components:
Lecture
Enrollment Information
Enrollment Requirement:
Prerequisites: "C" or better in MATH 6510.
Description
Riemannian metrics, connections, geodesics, normal coordinates, completeness, spaces of constant curvature, submanifolds, Bonnet's and Meyer's theorem, Cartan-Hadamard theorem, Alexandrov and Topogonov comparison theorems, closed geodesics, cut locus, sphere theorem.