Introduction to Riemannian Manifolds
This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier bo
- PDF / 9,231,244 Bytes
- 447 Pages / 453.544 x 683.151 pts Page_size
- 43 Downloads / 264 Views
John M. Lee
Introduction to Riemannian Manifolds Second Edition
Graduate Texts in Mathematics
176
Graduate Texts in Mathematics Series Editors: Sheldon Axler San Francisco State University, San Francisco, CA, USA Kenneth Ribet University of California, Berkeley, CA, USA Advisory Board: Alejandro Adem, University of British Columbia David Eisenbud, University of California, Berkeley & MSRI Brian C. Hall, University of Notre Dame J.F. Jardine, University of Western Ontario Jeffrey C. Lagarias, University of Michigan Ken Ono, Emory University Jeremy Quastel, University of Toronto Fadil Santosa, University of Minnesota Barry Simon, California Institute of Technology Ravi Vakil, Stanford University Steven H. Weintraub, Lehigh University
Graduate Texts in Mathematics bridge the gap between passive study and creative understanding, offering graduate-level introductions to advanced topics in mathematics. The volumes are carefully written as teaching aids and highlight characteristic features of the theory. Although these books are frequently used as textbooks in graduate courses, they are also suitable for individual study.
More information about this series at http://www.springer.com/series/136
John M. Lee
Introduction to Riemannian Manifolds Second Edition
123
John M. Lee Department of Mathematics University of Washington Seattle, WA, USA
ISSN 0072-5285 ISSN 2197-5612 (electronic) Graduate Texts in Mathematics ISBN 978-3-319-91754-2 ISBN 978-3-319-91755-9 (eBook) https://doi.org/10.1007/978-3-319-91755-9 Library of Congress Control Number: 2018943719 Mathematics Subject Classification (2010): 53-01, 53C20, 53B20 Originally published with title “Riemannian Manifolds: An Introduction to Curvature” 1st edition: © Springer-Verlag New York, Inc. 1997 2nd edition: © 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. This Sp
Data Loading...
