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MA 755 Introduction to Riemannian Geometry
惭础听755听听Introduction to Riemannian Geometry听听(3 credit hours)听听
An introduction to smooth manifolds with metric. Topics include: Riemannian metric and generalizations, connections, covariant derivatives, parallel translation, Riemannian (or Levi-Civita) connection, geodesics and distance, curvature tensor, Bianchi identities, Ricci and scalar curvatures, isometric embeddings, Riemannian submanifolds, hypersurfaces, Gauss Bonnet Theorem; applications and connections to other fields.
Prerequisite: 惭础听555
Typically offered in Spring only
This course is offered alternate years