Math 18.966: Geometry of Manifolds II
Tuesday, Thursday, 9:30-11am, 2-147
Course website: math.mit.edu/~tristanc/Math18.966.html
Email: tristanc at math dot mit dot edu
About the course
This course will cover aspects of comparison geometry, Ricci curvature, and the convergence theory of Riemannian manifolds as well as some applications.
The syllabus for the course is available here
As much as possible, I will try to provide links to publicly available (read arXiv) sources. If possible, I encourage you to seek out the published versions of these papers. Many textbooks are available on the web via the MIT Library.
- (K) Karcher: Riemannian Comparison Constructions (PDF)
- (Sz) Székelyhidi: Introduction to Extremal metrics (PDF)
- (Ch) Cheeger: Degeneration of Riemannian Metrics Under Ricci Curvature Bounds
- (Pet) Petersen: Riemannian Geometry
This is approximate. I will attempt to keep track of all the references used in class.
| Feb.5, 7
|| Geometry of generalized distance functions: References: (K)
|| Homework 1