Geometrical Themes Inspired by the N-body Problem
Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical
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Luis Hernández-Lamoneda Haydeé Herrera Rafael Herrera Editors
Geometrical Themes Inspired by the N-body Problem
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Zurich Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
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More information about this series at http://www.springer.com/series/304
Luis Hernández-Lamoneda • Haydeé Herrera • Rafael Herrera Editors
Geometrical Themes Inspired by the N-body Problem
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Editors Luis Hernández-Lamoneda Department of Mathematics Mathematics Research Center (CIMAT) Guanajuato, Mexico
Haydeé Herrera Department of Mathematics Rutgers University Camden, NJ USA
Rafael Herrera Department of Mathematics Mathematics Research Center (CIMAT) Guanajuato, Mexico
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-319-71427-1 ISBN 978-3-319-71428-8 (eBook) https://doi.org/10.1007/978-3-319-71428-8 Library of Congress Control Number: 2018931934 Mathematics Subject Classification (2010): 70F07, 37J45, 37J29, 34M99, 53C15, 37D15, 53D12, 57R58 © Springer International Publishing AG 2018 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
The Seventh Mini-Meeting on Differential Geometry was held from February 17th to 19th, 2015, at the Center for Research in Mathematics (CIMAT), Guanajuato, México. The invited speakers included Adolfo Guillot, Richard Montgomery (Distinguished Visiting Professor for the Mexican Academy of Sciences a
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