MATH537B

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MATH537B - Global Differential Geometry

Mathematics Graduate UA - UA General

Course Description

[Taught Spring semester in even-numbered years] Surfaces in R3, structure equations, curvature. Gauss-Bonnet theorem, parallel transport, geodesics, calculus of variations, Jacobi fields and conjugate points, topology and curvature; Riemannian geometry, connections, curvature tensor, Riemannian submanifolds and submersions, symmetric spaces, vector bundles. Morse theory, symplectic geometry.

Min Units

3

Max Units

3

Repeatable for Credit

No

Grading Basis

GRD - Regular Grades A, B, C, D, E

Career

Graduate

May be convened with

Name

Lecture

Workload Hours

3

Optional Component

No

Typically Offered Main Campus

Spring (even years only)