Sub-Riemannian Geometry and Optimal Transport
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 res
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Ludovic Rifford
Sub-Riemannian Geometry and Optimal Transport
SpringerBriefs in Mathematics
Series editors Krishnaswami Alladi, Gainesville, USA Nicola Bellomo, Torino, Italy Michele Benzi, Atlanta, USA Tatsien Li, Shanghai, People’s Republic of China Matthias Neufang, Ottawa, Canada Otmar Scherzer, Vienna, Austria Dierk Schleicher, Bremen, Germany Vladas Sidoravicius, Rio de Janeiro, Brazil Benjamin Steinberg, New York, USA Yuri Tschinkel, New York, USA Loring W. Tu, Medford, USA G. George Yin, Detroit, USA Ping Zhang, Kalamazoo, USA
SpringerBriefs in Mathematics showcases expositions in all areas of mathematics and applied mathematics. Manuscripts presenting new results or a single new result in a classical field, new field, or an emerging topic, applications, or bridges between new results and already published works, are encouraged. The series is intended for mathematicians and applied mathematicians. For further volumes: http://www.springer.com/series/10030
BCAM SpringerBriefs Editorial Board Enrique Zuazua BCAM - Basque Center for Applied Mathematics & Ikerbasque Bilbao, Basque Country, Spain Irene Fonseca Center for Nonlinear Analysis Department of Mathematical Sciences Carnegie Mellon University Pittsburgh, USA Juan J. Manfredi Department of Mathematics University of Pittsburgh Pittsburgh, USA Emmanuel Tr´elat Laboratoire Jacques-Louis Lions Institut Universitaire de France Universit´e Pierre et Marie Curie CNRS, UMR, Paris Xu Zhang School of Mathematics Sichuan University Chengdu, China BCAM SpringerBriefs aims to publish contributions in the following disciplines: Applied Mathematics, Finance, Statistics and Computer Science. BCAM has appointed an Editorial Board that will evaluate and review proposals. Typical topics include: a timely report of state-of-the-art analytical techniques, bridge between new research results published in journal articles and a contextual literature review, a snapshot of a hot or emerging topic, a presentation of core concepts that students must understand in order to make independent contributions. Please submit your proposal to the Editorial Board or to Francesca Bonadei, Executive Editor Mathematics, Statistics, and Engineering: francesca.bonadei@ springer.com
Ludovic Rifford
Sub-Riemannian Geometry and Optimal Transport
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Ludovic Rifford Laboratoire J.A. Dieudonné Université Nice Sophia Antipolis Nice France
ISSN 2191-8198 ISSN 2191-8201 (electronic) ISBN 978-3-319-04803-1 ISBN 978-3-319-04804-8 (eBook) DOI 10.1007/978-3-319-04804-8 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014933272 The Author(s) 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar
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