Differential Geometry And Physics: Proceedings Of The 23rd International Conference Of Differential Geometric Methods In Theoretical Physics, Tianjin, ... August 2005 (nankai Tracts In Mathematics)

Nankai Tracts in Mathematics Vol. 10 DIFFERENTIAL GEOMETRY AND PHYSICS Editors Mo-Lin Ge & W e i p i n g Z h a n g Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Iheoreti Physics World Scientific DIFFERENTIAL GEOMETRY AND PHYSICS Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics NANKAI TRACTS IN MATHEMATICS Series Editors: Yiming Long and Weiping Zhang Nankai Institute of Mathematics Published Vol. 1 Scissors Congruences, Group Homology and Characteristic Classes by J. L Dupont Vol. 2 The Index Theorem and the Heat Equation Method byY.LYu Vol. 3 Least Action Principle of Crystal Formation of Dense Packing Type and Kepler's Conjecture by W. Y. Hsiang Vol. 4 Lectures on Chern-Weil Theory and Witten Deformations by W. P. Zhang Vol. 5 Contemporary Trends in Algebraic Geometry and Algebraic Topology edited by Shiing-Shen Chern, Lei Fu & Richard Hain Vol. 6 Riemann-Finsler Geometry by Shiing-Shen Chern & Zhongmin Shen Vol. 7 Iterated Integrals and Cycles on Algebraic Manifolds by Bruno Harris Vol. 8 Minimal Submanifolds and Related Topics by Yuanlong Xin Nankai Tracts in Mathematics - Vol. 10 DIFFERENTIAL GEOMETRY AND PHYSICS Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics Tianjin, China 20 - 26 August 2005 Editors Mo-Lin Ge & Weiping Zhang Chern Institute of Mathematics, Tianjin, China \Hp World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONGKONG • TAIPEI • CHENNAI Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Nankai Tracts in Mathematics — Vol. 10 DIFFERENTIAL GEOMETRY AND PHYSICS Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics Copyright © 2006 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN 981-270-377-2 Printed in Singapore by World Scientific Printers (S) Pte Ltd Dedicate to the memory of Professor Shiing-Shen Chern Vll FOREWORD The Nankai Mathematical Institute, whose grand ne