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Introduction to sub-Riemannian geometry

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2012-2013
Period: 
April-May
Duration: 
20 h
Description: 
  1. Elements of differential geometry
  2. Definition of rank-varying sub-Riemannian manifolds
  3. Continuity of the distance
  4. Existence of minimizers
  5. Normal and abnormal geodesics
  6. End-Point and exponential map
  7. Hausdorff dimension of a sub-Riemannian manifold
  8. Intrinsic volume in a sub-Riemannian manifold
  9. The Laplace-Beltrami operator on a sub-Riemannian manifold
  10. Examples
Location: 
A-133
Next Lectures: 

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