MATH 7711.01: Riemannian Geometry

October 20, 2013
Basic concepts of (pseudo) Riemannian geometry, such as curvature and Ricci tensors, Riemannian distance, geodesics, the Laplacian, and proofs of some fundamental results, including the Frobenius and Lie-subgroup theorems, the local structure of constant-curvature metrics, characterization of conformal flatness, the Hopf-Rinow, Myers, Lichnerowicz and Singer-Thorpe theorems. Prereq: 6702. Not open to students with credit for 7711.02.
Credit Hours: 
3.0


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