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Introduction to sub-Riemannian geometry

Lecturer: 
Luca Rizzi
Course Type: 
PhD Course
Academic Year: 
2022-2023
Period: 
Octorber-December
Duration: 
20 h
Description: 

The aim of this course is to provide an introduction to the geometry of sub-Riemannian manifolds, and to illustrate some research directions in this domain. References:

  • Agrachev, Andrei; Barilari, Davide; Boscain, Ugo. A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint. Cambridge Studies in Advanced Mathematics, 181. Cambridge University Press
  • Rifford, Ludovic. Sub-Riemannian geometry and optimal transport. SpringerBriefs in Mathematics. Springer, Cham, 2014
  • Montgomery, Richard. A tour of subriemannian geometries, their geodesics and applications. Mathematical Surveys and Monographs, 91. American Mathematical Society, Providence, RI, 2002.
  • Jean, Frédéric. Control of nonholonomic systems: from sub-Riemannian geometry to motion planning. SpringerBriefs in Mathematics. Springer, Cham, 2014
  • Bellaïche, André. The tangent space in sub-Riemannian geometry. Sub-Riemannian geometry, 1--78, Progr. Math., 144, Birkhäuser, Basel, 1996

 

Research Group: 
Mathematical Analysis, Modelling, and Applications
Location: 
A-136
Next Lectures: 

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