*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)