Lectures on Nonsmooth Differential Geometry
This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced t
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Nicola Gigli Enrico Pasqualetto
Lectures on Nonsmooth Differential Geometry
SISSA Springer Series Volume 2
Editor-in-Chief Gianni Dal Maso, SISSA - Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy Series Editors Fabrizio Catanese, Institut für Mathematik, Fakultät für Mathematik, Physik und Informatik, Universität Bayreuth, Bayreuth, Germany Giovanni Felder, Department of Mathematics, ETH Zurich, Zürich, Switzerland Max Gunzburger, Department of Scientific Computing, Florida State University, Tallahassee, FL, USA
The SISSA Springer Series publishes research monographs, contributed volumes, conference proceedings and lectures notes in English language resulting from workshops, conferences, courses, schools, seminars, and research activities carried out by SISSA: https://www.sissa.it/. The books in the series will discuss recent results and analyze new trends focusing on the following areas: geometry, mathematical analysis, mathematical modelling, mathematical physics, numerical analysis and scientific computing, showing a fruitful collaboration of scientists with researchers from other fields. The series is aimed at providing useful reference material to students, academic and researchers at an international level.
More information about this series at http://www.springer.com/series/16109
Nicola Gigli • Enrico Pasqualetto
Lectures on Nonsmooth Differential Geometry
Nicola Gigli Department of Mathematics International School for Advanced Studies (SISSA) Trieste, Italy
Enrico Pasqualetto Department of Mathematics and Statistics University of Jyväskylä Jyväskylä, Finland
ISSN 2524-857X ISSN 2524-8588 (electronic) SISSA Springer Series ISBN 978-3-030-38612-2 ISBN 978-3-030-38613-9 (eBook) https://doi.org/10.1007/978-3-030-38613-9 © Springer Nature Switzerland AG 2020 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, expressed 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. This Springer imp
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