Course Descriptions

16:640:532 - Introduction to Differential Geometry

Daniel Ketover

Course 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.


do Carmo Riemannian geometry ; Milnor Morse theory


real analysis, basic point set topology


Schedule of Sections: