Ricci Flow and Geometric Applications Cetraro, Italy 2010

Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the core of the study of differentiable manifolds. Several very importan

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Michel Boileau Gerard Besson Carlo Sinestrari Gang Tian

Ricci Flow and Geometric Applications Cetraro, Italy 2010

Riccardo Benedetti Carlo Mantegazza Editors

Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, Paris and New York Catharina Stroppel, Bonn Anna Wienhard, Heidelberg

More information about this series at http://www.springer.com/series/304

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Michel Boileau • Gerard Besson • Carlo Sinestrari • Gang Tian

Ricci Flow and Geometric Applications Cetraro, Italy 2010 Riccardo Benedetti, Carlo Mantegazza Editors

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Authors Michel Boileau Aix-Marseille Université, CNRS, Central Marseille Institut de Mathematiques de Marseille Marseille, France Carlo Sinestrari Dip. di Ingegneria Civile e Ingegneria Informatica Università di Roma “Tor Vergata” Rome, Italy Editors Riccardo Benedetti Department of Mathematics University of Pisa Pisa, Italy

ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-42350-0 DOI 10.1007/978-3-319-42351-7

Gerard Besson Institut Fourier Université Grenoble Alpes Grenoble, France

Gang Tian Princeton University Princeton, NJ USA

Carlo Mantegazza Department of Mathematics University of Naples Naples, Italy

ISSN 1617-9692 (electronic) ISBN 978-3-319-42351-7 (eBook)

Library of Congress Control Number: 2016951889 Mathematics Subject Classification (2010): 53C44, 57M50, 57M40 © Springer International Publishing Switzerland 2016 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 methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

Preface

Our aim in organizing this CIME course was to present to young students and researchers the impressive recent achievements in differential geometry