2007 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 2007 Spring 267 Section Number 01 Primary Instructor Bryant,Robert L Permission required? N Course Homepage www.math.duke.edu/~bryant/267/
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
"A comprehensive introducation to differential geometry (Vol. 1)" by M. D.
Spivak, 3rd edition. Publish or Perish, Inc.
Assignments
Frequent homework assignments
Exams
a take-home final
Grade to be based on
homework, final exam, class participation
