Differential Geometry

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1500

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MATH 444 or MATH 539 Description: A graduate course in smooth and Riemannian manifolds. Tensors, Riemannian metrics, differential forms. Lie derivatives. Distributions and foliations, including the Frobenius Theorem and an introduction to contact structures. Lie groups and the exponential map. Connections on Vector Bundles. Geodesics and completeness. Curvature. First and second variations of length and area. Jacobi Fields. Additional topics may vary from year to year. Graduate/Undergraduate Equivalency: MATH 402 . Mutually Exclusive: Cannot register for MATH 500 if student has credit for MATH 402 . Repeatable for Credit→MATH 500→unlocks 1 courses

1 mapped course lists MATH 500 as a prerequisite. See on the map →

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