Geometry of manifolds

Lectures: 2 sessions / week, 1.5 hours / session

This course is meant to bring graduate students who will be using ideas from differential topology and differential geometry up to speed on these topics. Below is list of some of the highlights of the first semester.

Analysis II (18.101) and Algebraic Topology (18.905)

100% of the grading is based on the assignments.

Bott, Raoul, R. Bott, and Loring W. Tu. Differential Forms in Algebraic Topology (Graduate Texts in Mathematics; 82). Reprint edition. New York: Springer-Verlag, June 1, 1995. ISBN: 0387906134.

Abraham, Ralph, Jerrold E. Marsden, and Tudor Ratiu. "Manifolds, Tensor Analysis, and Applications." Applied Mathematical Sciences. Vol. 75. New York: Springer Verlag, May 1, 1998. ISBN: 3540967907.

Hirsch, Morris W. "Differential Topology." Graduate Texts in Mathematics. Vol. 33. Reprint edition. New York: Springer-Verlag, November 1, 1988. ISBN: 0387901485.

Don't show me this again

This is one of over 2,200 courses on OCW. Find materials for this course in the pages linked along the left.

MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum.

No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates.

Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer credit or certification for using OCW.

Made for sharing. Download files for later. Send to friends and colleagues. Modify, remix, and reuse (just remember to cite OCW as the source.)

Learn more at Get Started with MIT OpenCourseWare