Sub-Riemannian Geometry and Optimal Transport

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. The combination of geometry presented from an analytic point of view and of optimal transport, makes the book interesting for a very large community. This set of notes grew from a series of lectures given by the author during a CIMPA school in Beirut, Lebanon.

Sub-Riemannian Geometry and Optimal Transport features in the following genres: Calculus and mathematical analysis, Integral calculus and equations, Differential and Riemannian geometry, Cybernetics and systems theory, Optimization

Sub-Riemannian Geometry and Optimal Transport is available in Paperback

Sub-Riemannian Geometry and Optimal Transport was written by Ludovic Rifford and published by Springer an imprint of Springer International Publishing

Sub-Riemannian Geometry and Optimal Transport has 130 pages

Yes it is part of SpringerBriefs in Mathematics series