Fall 2021 Course: 4720: Intro to Differential Geometry.

2021 AUG 24
Tuesday, Aug 24, 2021 (All day) - Tuesday, Dec 07, 2021 (All day)

The main object of study is the geometry of curves and surfaces. Topics include: higher-dimensional manifolds, the Gauss map, parallel transport, curvature of curves and surfaces, the first and second fundamental forms, surface area and volume, geodesics, the exponential map, the Gauss-Bonnet theorem.