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Oct 03, 2024
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MATH 882 - Differential GeometryCredits: 3
Riemannian metrics, covariant derivatives, Gauss curvature, Riemann curvature; Gauss-Bonnet theorem; Exponential map and normal coordinates; The Hopf-Rinow Theorem; Jacobi fields; The Cartan-Hadamard Theorem; Ricci curvature and Myers’ and Bonnet’s Theorems; selected topics and Kähler geometry; symplectic topology; gauge theory.
Requisites: Prerequisite: MATH 881.
Typically Offered Spring, even numbered years
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