Sub-Riemannian Geometry and Optimal Transport



English | 2014 | ISBN: 3319048031 | 140 pages | PDF | 1.9 MB

The book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields.

The text is completely self-contained: the linear discussion, containing all the proofs of the stated results, leads the reader step by step from the notion of distribution at the very beginning to the existence of optimal transport maps for Lipschitz sub-Riemannian structure.

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