Riemannian Topology and Geometric Structures on Manifolds

Riemannian Topology and Geometric Structures on Manifolds results from a similarly entitled conference held at the University of New Mexico in Albuquerque. The various contributions to this volume discuss recent advances in the areas of positive sectional

  • PDF / 5,284,558 Bytes
  • 303 Pages / 439.37 x 666.142 pts Page_size
  • 74 Downloads / 237 Views

DOWNLOAD

REPORT


Series Editors H. Bass J. Oesterlé A. Weinstein

Krzysztof Galicki



Santiago R. Simanca

Riemannian Topology and Geometric Structures on Manifolds

Birkhäuser Boston • Basel • Berlin

Editors Krzysztof Galicki Department of Mathematics University of New Mexico Albuquerque, NM 87131 [email protected]

Santiago R. Simanca Department of Mathematics University of New Mexico Albuquerque, NM 87131 [email protected]

ISBN 978-0-8176-4742-1 e-ISBN 978-0-8176-4743-8 DOI 10.1007/978-0-8176-4743-8 Library of Congress Control Number: 2008938278 Mathematics Subject Classification (2000): 58-06 c °2009 Birkhäuser Boston, a part of Springer Science+Business Media LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkhäuser Boston, c/o Springer Science+Business Media LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper www.birkhauser.com

Progress in Mathematics

Riemannian Topology and Geometric Structures on Manifolds Proceedings of the Conference on Riemannian Topology and Geometric Structures on Manifolds∗ In honor of Charles P. Boyer’s 65th birthday October 10-14, 2006 The University of New Mexico, Albuquerque, New Mexico Krzysztof Galicki Santiago R. Simanca Editors

Birkhäuser, Boston

∗ The realization of this event and the preparation of these Proceedings were supported by the National Science Foundation grant DMS 0623676, the Efroymson Foundation, and an anonymous source.

This volume is dedicated to Charles P. Boyer on the occasion of his 65th birthday

Preface

The articles in this volume originate either from lectures presented at the conference Riemannian Topology and Geometric Structures on Manifolds or from discussions directly surrounding the topics pertaining to this event. Held in Albuquerque from October 10 to October 14, 2006, the conference had three objectives: to provide a forum for the analysis of recent advances in the areas of positive sectional curvature, K¨ahlerian and Sasakian geometry, and their interrelation to mathematical physics; to create a platform for the discussion of the growth that these fundamental ideas have experienced in recent past; and to examine the open problems of interest in these fields. The conference was used also as an occasion to celebrate Charles P. Boyer’s 65th birthday in recognition of his academic achievements while on the faculty at the University of New Mexico. The objectives of the conference are all reflected in this volume. The interrelati