2010 Spring MATH 267-01
Bulletin Course Description Differentiable manifolds, fiber bundles, connections, curvature, characteristic classes, Riemannian geometry including submanifolds and variations of length integral, complex manifolds, homogeneous spaces. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title DIFFERENTIAL GEOMETRY Department MATH Course Number 2010 Spring 267 Section Number 01 Primary Instructor Stern,Mark A Prerequisites Prerequisite: Mathematics 204 or equivalent.
Synopsis of course content
This course is an introduction to differential geometry. Differential geometry can be thought of as calculus on curved spaces and is central to many modern physics theories, including general relativity. Specific topics will include differentiable manifolds, vector bundles, metrics, connections, geodesics, curvature, tensors, differential forms, and the geometry of submanifolds. Additional advanced topics will be considered as time permits. (While Math 206 is not a prerequisite, advanced undergraduates who have time would gain valuable intuition by taking Math 206 first.)
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