MAT 568

Title: Differential Geometry I

Description: Connections, curvature, geodesics, parallelism, and completeness. Riemannian manifolds, geometry of sub-manifolds; method of integral formulas; applications to global extrinsic theorems. Riemannian curvature. Gauss-Bonnet theorem, Hopf-Rinow theorem.

Offered: Fall

Prerequisite: MAT 531

Credits: 3

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