Differential Geometry

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.
Credit Hours


Title: Riemannian Geometry
Author: Gallot, Sylvestre, Hulin, Dominique, Lafontaine, Jacques
Publisher: Springer-Verlag Berlin Heidelberg
ISBN: 978-3-642-18855-8

Semester(s) Offered: