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 weeks. The course will follow Gallot, Hulin and Lafontaine's "Riemannian Geometry" with some omissions and some supplementary material. There will be about 10 problem sets and no exams.

The course meets Tuesday and Thursday 10:30-11:45 in Krieger 111.

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

Office Hours: Tuesday 1:30-3:30pm or by appointment, in Krieger 408.

References

• 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