MATHEMATIC 6702

Differential Geometry

Ohio State University-Marion Campus · UGRD · Fall 2026

1 section

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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.

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Class #ohio_marion_campus-MATHEMATIC6702Fall 2026UGRD3 credits

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