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MATH 213B

Introduction to Riemannian Geometry

Description
Riemannian metric and Levi-Civita connection. Geodesics, completeness and Hopf-Rinow theorem. Curvature. First and second variations of arc-length. Spaces of constant curvature. Additional topics selected by the instructor such as theorems of Myers, Hadamard, Synge, and Gauss-Bonnet. Prerequisites: MATH 213A or instructor consent. Notes: Alternate years.

Grading
Normal Grade Rules

Units
3