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OverviewThe 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 DetailsAuthor: Ludovic RiffordPublisher: 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: 9783319048031ISBN 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 ![]() We will order this item for you from a manufactured on demand supplier. Table of Contents1 Sub-Riemannian structures.- 2 Sub-Riemannian geodesics.- 3 Introduction to optimal transport.- Appendix A Ordinary differential equations.- Appendix B Elements of differential calculus.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |