Course Description
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.
Fall 2025
Instructors
Meeting Patterns
Classes Start:
August 18, 2025
Classes End:
December 2, 2025
Location:
01220 SAS Hall
Class Days:
T H
Class Start Time:
3:00pm
Class End Time:
4:15pm
Class Type:
Lecture
Credits:
3.00
Restrictions:
Prerequisite: MA 555