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Introduction to sub-Riemannian geometry

Lecturer: 
Luca Rizzi
Course Type: 
PhD Course
Academic Year: 
2021-2022
Period: 
March - May
Duration: 
36 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

Attendance in presence is encouraged, but a Zoom link will be available:

https://sissa-it.zoom.us/j/81805445600?pwd=K01jRk9KOWhIUGtuci9Mb2tEc3hiUT09

Meeting ID: 818 0544 5600
Passcode: 701872

Research Group: 
Mathematical Analysis, Modelling, and Applications
Location: 
A-133
Next Lectures: 

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