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Cover: 9783319048031 | Sub-Riemannian Geometry and Optimal Transport | Ludovic Rifford | Buch
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Sub-Riemannian Geometry and Optimal Transport
Taschenbuch von Ludovic Rifford
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Crash course in both sub-Riemannian geometry and optimal transport

Recent results and state-of-the-art on optimal transport in sub-Riemannian geometry

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2014
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: SpringerBriefs in Mathematics
Inhalt: vii
140 S.
14 s/w Illustr.
140 p. 14 illus.
ISBN-13: 9783319048031
ISBN-10: 3319048031
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Rifford, Ludovic
Hersteller: Springer
Palgrave Macmillan
Springer International Publishing AG
SpringerBriefs in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 9 mm
Von/Mit: Ludovic Rifford
Erscheinungsdatum: 17.04.2014
Gewicht: 0,236 kg
Artikel-ID: 105346809
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