Units: 4
Hours: Lecture, 3 hours, outside research, 3 hours
Catalog page 482
Prerequisites: MATH 232A; graduate standing
Description: Local and global theory of curves. Surfaces in R3: the Gauss map, fundamental forms, curvature. Riemannian geometry: the Levi-Civita connection, curvature, geodesics, exponential map, completeness, Gauss-Bonnet theorem for surfaces.