2006 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 2006 Spring 267 Section Number 01 Primary Instructor Bray,Hubert Lewis Permission required? N
Prerequisites
Mathematics 204 or equivalents. Math 261 is a useful corequisite.
Synopsis of course content
This course will be a basic introduction to Riemannian geometry. We will introduce differentiable manifolds, vector bundles, metrics and connections. We will study geodesics and curvature. We will examine the relations between curvature and topology. Additional advanced topics will be considered if time permits.
Textbooks
"Differential Geometry" by Peter Petersen
On reserve in the libray:
"Differential Geometry (Vol. 1)" by Spivak
Assignments
Additional Information
If you are not already familiar with differntial forms and want to get an early start, review the first half or so of Spivak's "Diff. Geom. (Vol.1)."
