MATH 6702: Differential Geometry
Riemannian manifolds, distance, volume; covariant derivatives, Levi-Civita connection; geodesics, curvatures: sectional, Ricci, scalar; Jacobi fields, conjugate points; Rauch comparison, Hopf-Rinow, Hadamard, Preissman's and Berger's Sphere Theorems.
Prereq: 6701 (765). Not open to students with credit for 766.
Prereq: 6701 (765). Not open to students with credit for 766.
Credit Hours
3.0
Textbook
Title: Riemannian Geometry
Author: Gallot, Sylvestre, Hulin, Dominique, Lafontaine, Jacques
Publisher: Springer-Verlag Berlin Heidelberg
ISBN: 978-3-642-18855-8
Semester(s) Offered:
Spring
