Generic Coarse Geometry of Leaves
This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants. Every leaf of a compact foliated space has an induced coarse q
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Jesús A. Álvarez López · Alberto Candel
Generic Coarse Geometry of Leaves
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Princeton Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
2223
More information about this series at http://www.springer.com/series/304
Jesús A. Álvarez López • Alberto Candel
Generic Coarse Geometry of Leaves
123
Jesús A. Álvarez López Department and Institute of Mathematics University of Santiago de Compostela Santiago de Compostela, Spain
Alberto Candel Department of Mathematics California State University Northridge California, USA
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-319-94131-8 ISBN 978-3-319-94132-5 (eBook) https://doi.org/10.1007/978-3-319-94132-5 Library of Congress Control Number: 2018946562 Mathematics Subject Classification (2010): Primary: 57R30 © Springer International Publishing AG, part of Springer Nature 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 the registered company Springer International Publishing AG part of Springer Nature. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
The first named author dedicates this work to the memory of his parents, María and Jesús. The second named author dedicates this work to his mother, Manuela, and to the memory of his father, Alberto.
Preface
The work presented in this monograph is about the metric and topological properties of Riemannian manifolds that arise as leaves of compact foliated spaces and more generally about the metric and topological properties of orbits of compactly
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