Math 423: Differentiable Manifolds

Basic Information


Mathematics 323 or 381, or consent of instructor. Point set topology and linear algebra will be very useful.

If you have any questions or concerns, please contact me by e-mail.

Course outline

The course is an introduction to the language of differentiable manifolds with a smattering of Riemannian geometry.

We will cover the topics of the differential geometry comprehensive exam:


Here are lecture notes of the last year's version of the course taken by David Rose (pdf format).

Recommended texts are

An introduction to Riemannian manifolds and differential geometry by Boothby
Foundation of differentiable manifolds and Lie groups by Warner.

Other texts that you may find useful:
A comprehensive introduction to differential geometry, Vol I by M. Spivak
Tensor analysis on manifolds by Bishop and Goldberg


The course grade will be based on weekly homework, a midterm and a final.

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Last modified: Thu Sep 18 12:40:17 CDT 2003