MATH8365
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MATH 8365 - Differential Geometry (3 Cr.)
Course description
Riemannian metric, tensors, vector bundles, connections and curvature on a vector bundle, the Levi-Civita connection. The positivity of curvature and the topology of a manifold. Geodesics,
Lie derivative, the exponential map, completeness. Characteristic classes, the Chern-Weil theory. Bianchi identities, the Gauss-Bonnet theorem. Introduction to Lie groups.
Lie derivative, the exponential map, completeness. Characteristic classes, the Chern-Weil theory. Bianchi identities, the Gauss-Bonnet theorem. Introduction to Lie groups.
Minimum credits
3
Maximum credits
3
Is this course repeatable?
No
Grading basis
AFV - A-F or Audit
Lecture
Fulfills the writing intensive requirement?
No
Typically offered term(s)
Every Fall