Differential Geometry II
Differential geometry is the study of Riemannian manifolds and
their local and global properties.
In this course, we will cover some topics in differential geometry, possibly including:
- Calculus of variations and Morse theory on the space of paths
- The Cartan-Hadamard theorem and the geometry of nonpositively curved manifolds
- The geometry of Lie groups and symmetric spaces
- Comparison geometry
Basic information
- Instructor: Robert Young (ryoung@cims.nyu.edu)
- Office: CIWW 601
- Office hours: Mondays, 1:30--2:30 or by appointment
- Lectures: CIWW 201, Wednesdays 1:25--3:15
- Sources:
- Milnor, Morse theory
- Lee, Riemannian Manifolds: An Introduction to Curvature
- Bridson and Haefliger, Metric Spaces of Non-Positive Curvature
- Cheeger and Ebin, Comparison Theorems in Riemannian Geometry
Notes
Problem Sets