Jacob Bernstein

Course Description

This is a graduate level introduction to Riemannian geometry. Some basic familiarity with the theory of differential manifolds will be assumed, though there will be some review in the first two-three weeks. The course will follow J. Lee's "Riemannian Geometry". There will be 9-10 problem sets and no exams.

The course meets Tuesday and Thursday 10:30-11:45 on Zoom. See Blackboard for meeting details.

Problem sets will be due in class on Tuesdays (see below for dates).

Office Hours: By appointment on Zoom.

References

• J. Lee, "Introduction to Riemannian Geometry," 2nd Ed.

• S. Gallot, D. Hulin and J. Lafontaine, "Riemannian Geometry," 3rd Ed.
• M. Do Carmo, “Riemannian Geometry".
• F. W. Warner, "Foundations of Differential Manifolds and Lie Groups";
  
• W. Boothby, "An Introduction to Differentiable Manifolds and Riemannian Geometry";
  
• P. Petersen, "Riemannian Geometry";
  
• J. Jost, "Riemannian Geometry and Geometric Analysis";
  
• I. Chavel, "Riemannian Geometry: A Modern Introduction".
  

(Tentative) Schedule