Riemannian geometry of n-space, metric tensors, various curvature concepts and their relationships, covariant differentiation, geodesics, parallel transport. Additional topics at the discretion of the instructor. Prerequisite: MATH 348, or MATH 217 and one of MATH 225 or 227. Note: Offered in alternate years. It may be offered in intervening years if demand is sufficient.
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LECTURE Q1
(88036) |
50 |
2026-01-05 - 2026-04-10 (MWF)
11:00 - 11:50
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Topological and smooth manifolds; continuous, smooth, and invertible maps between manifolds; submanifolds; vector fields and their flows; Lie groups and algebras; left-invariant vector fields on a Lie group; differential forms, vector bundles and tensor fields; integration on manifolds; de Rham cohomology. Time permitting, additional topics at the discretion of the instructor. Prerequisite: one of MATH 209, 215, 217, 315 or MA PH 351, and one of MATH 225 or 227.
| Section | Capacity | Class times | Login to view Instructor(s) and Location |
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LECTURE A1
(57876) |
50 |
2026-09-01 - 2026-12-08 (MWF)
13:00 - 13:50
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