Temple University 3 credits MATH
The goal of this course is to provide a solid introduction to the two central concepts of Riemannian geometry, namely, geodesics and curvature. Topics include Riemannian metrics, Riemannian connections, geodesics, curvature (sectional, Ricci, and scalar), the Jacobi equation, the second fundamental form, and global results such as the Gauss-Bonnet theorem, Hopf-Rinow theorem, and Hadamard's theorem.
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