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Sub-Riemannian Geometry and Optimal Transport
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| 概要 | Thebook 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 discus...sion, 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.続きを見る |
| 目次 | 1 Sub-Riemannian structures 2 Sub-Riemannian geodesics 3 Introduction to optimal transport.-Appendix AOrdinary differential equations.-Appendix BElements of differential calculus References. |
| 冊子版へのリンク | http://hdl.handle.net/2324/1001532446 |
| 本文を見る | Full text available from Springer Mathematics and Statistics eBooks 2014 English/International |
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| 登録日 | 2020.06.27 |
| 更新日 | 2020.06.28 |