Sub-riemannian geometry and optimal transport / Ludovic Rifford.
Contributor(s): BCAM (Centre).Material type: TextSeries: SpringerBriefs in mathematics: Publisher: Cham ; New York : Springer, Copyright date: ©2014Description: vii, 140 pages : E 54.99 illustrations ; 23 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9783319048031 (pbk. : alk. paper); 3319048031 (pbk. : alk. paper).Subject(s): Geometry -- Study and teaching | Geometry, RiemannianDDC classification: 516
|Item type||Current location||Call number||Status||Date due||Barcode||Item holds|
|Book||Chennai Mathematical Institute General Stacks||516 RIF (Browse shelf)||Available||10538|
"BCAM/Basque Center for Applied Mathematics."
Includes bibliographical references and index.
1. Sub-Riemannian structures -- 2. Sub-Riemannian geodesics -- 3. Introduction to optimal transport -- Appendix A. Ordinary differential equations -- Appendix B. Elements of differential calculus.
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.-- Source other than Library of Congress.