MATH 464: Differential Geometry

2009 Trimester 1

MATH 464 CRN 10021, 15 Points (2009 1/3)
Coordinator: Prof Matt Visser
Prerequisites: MATH 301 or equivalent mathematical background
Recommended Reading: Useful Reference: Bernard Schutz, Geometrical Methods of Mathematical Physics.
Description: This course introduces the notation and ideas of modern Differential Geometry that form an essential background to many fields in Mathematics and Physics. It develops the theory of manifolds and bundles from a largely intuitive standpoint, and discusses the geometric notions of metric, connexion, geodesic, and curvature. Extensive notes are supplied. The course is an essential prerequisite for MATH 465.

Topics include:
  • Topological Manifolds and differentiable structure.
  • Affine connexion and Curvature: the Riemann tensor.
  • Exterior differential forms: generalized Stokes' theorem.

Despite what the "Guide to Enrollment" says, this course is offered in 2009.
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