This course, CRN 16271, is an introduction to Riemmann manifolds. It is a continuation of the Math 5344 course in Fall 2007 on smooth manifolds. The prerequisite is Math 5344 or consent of the instructor.

The text is Riemann Manifolds: An Introduction to Curvature, by John M. Lee. The topics covered will include connections, geodesics, and the curvature tensor. More advanced topics will depend on the interests of the students in the class.