- Schedule of Classes - May 9, 2021 7:14PM EDT
- Course Catalog - May 9, 2021 7:15PM EDT
Course information provided by the Courses of Study 2020-2021.
Topics include linear connections, Riemannian metrics and parallel translation; covariant differentiation and curvature tensors; the exponential map, the Gauss Lemma and completeness of the metric; isometries and space forms, Jacobi fields and the theorem of Cartan-Hadamard; the first and second variation formulas; the index form of Morse and the theorem of Bonnet-Myers; the Rauch, Hessian, and Laplacian comparison theorems; the Morse index theorem; the conjugate and cut loci; and submanifolds and the Second Fundamental form.
When Offered Spring.
Regular Academic Session.
Credits and Grading Basis
4 Credits Stdnt Opt(Letter or S/U grades)
Class Number & Section Details
- TROnline Meeting
- Feb 8 - May 14, 2021
Instruction Mode: Online
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