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)