Course Descriptions

16:640:532 - Introduction to Differential Geometry

Daniel Ketover

Text: 

do Carmo Riemannian geometry ; Milnor Morse theory

Prerequisites:

real analysis, basic point set topology

Description:

We give an introduction to Riemannian geometry, beginning with the notion of a manifold. We’ll study geodesics, Jacobi fields and the Morse index theorem, the curvature tensor and comparison theorems, connections between curvature and topology and time-permitting some selected topics in geometric analysis.

Schedule of Sections: