Instructor: David Glickenstein

Office: Mathematics 715

Office Phone: 621-2463

Email: glickenstein@math.arizona.edu

- Hodge theory (updated 2/5)
- Ricci flow in 2D (updated 2/24)
- Discrete differential geometry (updated 4/2)
- Minimal surfaces (updated 4/24)
- Spectral geometry

- Riemannian Geometry by Peter Petersen
- Foundations of differentiable manifolds and Lie groups, by F.
Warner

- Discrete
differential geometry: An applied introduction

Other books of note:

- Elementary Differential Geometry Lecture Notes by Gilbert Weinstein.
- Riemannian Manifolds: An Introduction to Curvature by John Lee. He has errata here.
- 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

- Introduction to the course

- Curves
- Surfaces
- Linear algebra

- Metrics
- Connections
- Curvature
- Submanifolds