DIFFERENTIAL GEOMETRY

Name: DIFFERENTIAL GEOMETRY
Availability: OutOfStock
Rating: 4.8 (220 reviews)

MATH 765

Course Description

Covers the metric properties of Riemannian manifolds. The following topics will be covered: Vector bundles and connections, Riemannian metrics, submanifolds and second fundamental form, first variation of arc length, geodesics, Hopf-Rinow theorem, second variation of arc length, Jacobi fields and index lemmas, Bonnet-Meyer theorem, Rauch comparison theorem, spaces of constant curvature, Hodge-de Rham theory. Familiarity with the topics in a differential manifolds course (e.g.MATH 761) is strongly recommended.

Prerequisites

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies

This course does not satisfy any prerequisites.

Credits

Not Reported

Offered

Not Reported

Grade Point Average

3.63

-5.9% from Historical

Completion Rate

100%

1.38% from Historical

A Rate

33.33%

-62.96% from Historical

Class Size

-1.82% from Historical

Cumulative Grade Distribution

Instructors (2026 Summr)

Sorted by ratings from Rate My Professors

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