Riemannian Geometry I(Fall 2009)

Instructor: PROF. MIN RU

 
 
 
Current News

  • Differential Goemetry by Theodore Shifrin or
  • Elementary DifferentialGeometry by Andrew Pressley  
  • Overview
  • Review of Surface theory
  • Curvatures of the curves on the surafces
  • Gauss' remarkable theorem
  • The Levi-Civita connection for surfaces
  • Surface theory with Differential Forms
  • HW1 (due on Tuesday, Sept. 8
  • Key to HW1
  • Abstract Surface (2-dimensioanl Riemannian manifolds)
  • HW1 (due on Wed., Sept. 30)
  • Integration of differential forms
  • Differential operators on Riemannian manifolds
  • The re-calculation of Differential operators on Riemannian manifolds using nromal coordinates and the Bockner-Weitzenbock formula

    Comments to: minru@math.uh.edu