Sub-Riemannian Geometry and Optimal Transport

Author:   Ludovic Rifford
Publisher:   Springer International Publishing AG
Edition:   2014 ed.
ISBN:  

9783319048031


Pages:   140
Publication Date:   17 April 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Sub-Riemannian Geometry and Optimal Transport


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Overview

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.

Full Product Details

Author:   Ludovic Rifford
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2014 ed.
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783319048031


ISBN 10:   3319048031
Pages:   140
Publication Date:   17 April 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Sub-Riemannian structures.- 2 Sub-Riemannian geodesics.- 3 Introduction to optimal transport.- Appendix A Ordinary differential equations.- Appendix B Elements of differential calculus.- References.

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