Sub-Riemannian Geometry and Optimal Transport

Ludovic Rifford

ISBN 10: 3319048031 / ISBN 13: 9783319048031

Verlag: Springer International Publishing, Springer International Publishing Apr 2014, 2014

Beschreibung

Neuware -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 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 148 pp. Englisch.

Bestandsnummer des Verkäufers 9783319048031

Bibliografische Details

• Titel: Sub-Riemannian Geometry and Optimal Transport
• Verlag: Springer International Publishing, Springer International Publishing Apr 2014
• Erscheinungsjahr: 2014
• Sprache: Englisch
• ISBN-10: 3319048031
• ISBN-13: 9783319048031
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.