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＜電子ブック＞
Sub-Riemannian Geometry and Optimal Transport / by Ludovic Rifford
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	VII, 140 p. 14 illus : online resource
著者標目	*Rifford, Ludovic author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Geometry, Differential LCSH:Mathematical optimization LCSH:Measure theory LCSH:System theory LCSH:Control theory FREE:Analysis FREE:Differential Geometry FREE:Optimization FREE:Measure and Integration FREE:Systems Theory, Control
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-04804-8

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