Geometry, Mechanics, and Dynamics The Legacy of Jerry Marsden

This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from t

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Dong Eui Chang Darryl D. Holm George Patrick Tudor Ratiu Editors

Geometry, Mechanics, and Dynamics The Legacy of Jerry Marsden

Fields Institute Communications VOLUME 73 The Fields Institute for Research in Mathematical Sciences Fields Institute Editorial Board: Carl R. Riehm, Managing Editor Walter Craig, Director of the Institute Matheus Grasselli, Deputy Director of the Institute James G. Arthur, University of Toronto Kenneth R. Davidson, University of Waterloo Lisa Jeffrey, University of Toronto Barbara Lee Keyfitz, Ohio State University Thomas S. Salisbury, York University Noriko Yui, Queen’s University

The Fields Institute is a centre for research in the mathematical sciences, located in Toronto, Canada. The Institutes mission is to advance global mathematical activity in the areas of research, education and innovation. The Fields Institute is supported by the Ontario Ministry of Training, Colleges and Universities, the Natural Sciences and Engineering Research Council of Canada, and seven Principal Sponsoring Universities in Ontario (Carleton, McMaster, Ottawa, Queen’s, Toronto, Waterloo, Western and York), as well as by a growing list of Affiliate Universities in Canada, the U.S. and Europe, and several commercial and industrial partners.

More information about this series at http://www.springer.com/series/10503

Dong Eui Chang • Darryl D. Holm • George Patrick Tudor Ratiu Editors

Geometry, Mechanics, and Dynamics The Legacy of Jerry Marsden

The Fields Institute for Research in the Mathematical Sciences

123

Editors Dong Eui Chang Department of Applied Mathematics University of Waterloo Waterloo, ON, Canada

Darryl D. Holm Department of Mathematics Imperial College London London, UK Tudor Ratiu Section de Mathématiques Ecole Polytechnique Fédérale de Lausanne Lausanne, Switzerland

George Patrick Department of Mathematics and Statistics University of Saskatchewan Saskatoon, SK, Canada

ISSN 1069-5265 Fields Institute Communications ISBN 978-1-4939-2440-0 DOI 10.1007/978-1-4939-2441-7

ISSN 2194-1564 (electronic) ISBN 978-1-4939-2441-7 (eBook)

Library of Congress Control Number: 2015933501 Mathematics Subject Classification (2010): 00Bxx, 37-02, 49-02, 53-02, 58-02, 65-02, 70-02 Springer New York Heidelberg Dordrecht London © Springer Science+Business Media New York 2015 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 u