Metrical and Dynamical Aspects in Complex Analysis
The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to
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Léa Blanc-Centi Editor
Metrical and Dynamical Aspects in Complex Analysis
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
More information about this series at http://www.springer.com/series/304
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Léa Blanc-Centi Editor
Metrical and Dynamical Aspects in Complex Analysis
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Editor Léa Blanc-Centi Laboratoire Paul Painlevé Université de Lille Villeneuve d’Ascq, France
ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-65836-0 DOI 10.1007/978-3-319-65837-7
ISSN 1617-9692 (electronic) ISBN 978-3-319-65837-7 (eBook)
Library of Congress Control Number: 2017955541 Mathematics Subject Classification (2010): 32F45, 32T99, 30C65, 53C23, 53B40, 37F99, 51F99 © Springer International Publishing AG 2017 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
This is the second volume of the CEMPI subseries, common to Lecture Notes in Mathematics and Lecture Notes in Physics. CEMPI, acronym for “Centre Européen pour les Mathématiques, la Physique et leurs Interactions,” is a “Laboratoire d’Excellence” based on the campus of the Université Lille 1. The material in this volume is based on lectures given in Lille during the CNRS’s Thematic School “Metrical and dynamical aspects in complex analysis,” as part of the 2015 PainlevéCEMPI Thematic Semester of Analysis. Complex analysis is by nature at the meeting point of analysis, geometry, and
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