Instructor: David Glickenstein

Office: Mathematics 715

Office Phone: 621-2463

Email:glickenstein@math.arizona.edu

- Riemannian Manifolds: An Introduction to Curvature by John Lee. He has errata here.

Other books of note:

- Elementary Differential Geometry Lecture Notes by Gilbert Weinstein.
- Riemannian Geometry by M. P. Do Carmo
- A Comprehensive Introduction to Differential Geometry by M. Spivak
- Riemannian Geometry: A Modern Introduction by I. Chavel
- Lectures on Differential Geometry by R. Schoen and S. T. Yau
- Comparison Theorems in Riemannian Geometry by J. Cheeger and D. Ebin
- Riemannian Geometry by Peter Petersen

- Notes from the last time I taught this class - We will only cover a subset of this material
- Introduction and tensors
- Riemannian metrics
- Connections