Math392C: Riemannian Geometry
No class on April 27. Lewis Bowen will be lecturing about Hodge theory on
May 2 and May 4.
I posted the first chapter of Cheeger-Ebin, which has text related to the
lectures on geodesics, etc.
Professor: Dan Freed
Class Meetings: TTh 11:00-12:30,
Discusion/Office Hours: Wednesdays,
3:00-4:00, RLM 9.162
For more details, see the First Day Handout
Problem Set #1
Problem Set #2
Problem Set #3
Problem Set #4
Problem Set #5
Problem Set #6
Problem Set #7
Problem Set #8
Problem Set #9
Problem Set #10
Problem Set #11
Problem Set #12
notes from the lectures.
Note on fiber bundles and vector
Remarks on Lecture 2 (1/19)
Remarks on Lecture 3 (1/24)
Remarks on Lecture 6 (2/2)
Remarks on Lecture 7 (2/7)
Remarks on Lecture 10 (2/16)
Remarks on Lecture 13 (2/28)
Remarks on Lecture 15 (3/7)
Remarks on Lecture 24 (4/13)
Riemann's 1854 lecture introducing
Riemannian geometry (translation by M. Spivak).
Riemann's 1861 essay introducing
Riemann curvature tensor (translation by M. Spivak).
Warner Chapter 1 on manifolds, including
Lie derivatives and the Frobenius theorem.
Spivak chapters on vector fields and the
Lawson 1974 survey on foliations.
Warner Chapter 3 on Lie groups.
Spivak chapter on connections on principal
Kobayashi-Nomizu chapter on connections on
principal bundles, including material on holonomy.
Singer paper on the Chern connection and
the Levi-Civita connection on Kahler manifolds.
Ambrose-Singer paper on their
Simons paper proving Berger's
holonomy classification theorem.
Cheeger-Ebin Chapter 1 on basic