MATH 7711.02: Riemannian Geometry

May 17, 2018

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: Post-candidacy in Math, and permission of instructor. This course is graded S/U.

Credit Hours: 

To find course availability and times, please visit the Ohio State Course Catalog and Master Schedule.

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