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
- Comparison geometry
- The Cartan-Hadamard theorem and the geometry of nonpositively curved manifolds
- The geometry of Lie groups and symmetric spaces
Basic information
- Instructor: Robert Young (ryoung@cims.nyu.edu)
- Office: WWH 601
- Office hours: WWH 601, Wednesdays, 3:15--4:30
- Lectures: WWH 517, Wednesdays, 1:25--3:15
- Sources:
- Milnor, Morse theory
- Lee, Introduction to Riemannian Manifolds (Springer)
- Cheeger and Ebin, Comparison Theorems in Riemannian
Geometry
- Bridson and Haefliger, Metric spaces of non-positive curvature
Notes
Problem sets