Ma 157a - Riemannian geometry 1; Winter 2005
Instructor: Danny Calegari
MW 2:30-4; 257 Sloan
Grading policy:
To be determined
Description of course:
This course is a first introduction to Riemannian geometry.
Topics to be covered (if time allows):
- Smooth manifolds
- Riemannian metrics
- Geodesics, exponential maps
- Completeness
- Connections, curvature, identities
- Minimal surfaces
References:
- Gallot, Hulin and Lafontaine, Riemannian Geometry, Springer-Verlag,
Universitext, Second Edition, (1990) or later
- Jost, J, Riemannian Geometry and Geometric Analysis, Springer-Verlag
Universitext, Third Edition, (2002)