Differential Geometric Methods in Mathematical Physics Proceedings o
The focal topic of the 14th International Conference on Differential Geometric Methods was that of mathematical problems in classical field theory and the emphasis of the resulting proceedings volume is on superfield theory and related topics, and classic
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1251 Differential Geometric Methods in Mathematical Physics Proceedings of the 14th International Conference held in Salamanca, Spain, June 24-29, 1985
Edited by P. L. Garda and A. Perez-Rendon
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann
1251 Differential Geometric Methods in Mathematical Physics Proceedings of the 14th International Conference held in Salamanca, Spain, June 24-29, 1985
Edited by P. L. Garda and A. Perez-Rendon
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors Pedro Luis Garda Antonio Perez-Rendon Departamento de Matematicas, Universidad de Salamanca Plaza de la Merced, 1-4, 37008 Salamanca, Spain
Mathematics Subject Classification (1980): 17B65, 17B80, 58A 10, 58A50, 58F06, 81-02, 83E80, 83F05 ISBN 3-540-17816-3 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-17816-3 Springer-Verlag New York Berlin Heidelberg
Library of Congress Cataloging-in-Publication Data. Differential geometric methods in mathematical physics. (Lecture notes in mathematics; 1251) Papers presented at the 14th International Conference on Differential Geometric Methods in Mathematical Physics. Bibliography: p. 1. Geometry, Differential-Congresses. 2. Mathematical physics-Congresses. I. Gracia Perez, Pedro Luis. II. Perez-Rendon, A., 1936-. III. International Conference on Differential Geometric Methods in Mathematical Physics (14th: 1985: Salamanca, Spain) IV. Series. Lecture notes in mathematics (Springer-Verlag); 1251. OA3.L28no. 1251510s 87-9557 [OC20.7.D52) [530.1 '5636) ISBN 0-387-17816-3 (U.S.) This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1987 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
PREFACE During the week from the 24th
to 29th of June 1985 the 14th International Conference
on Di fferential Geometric Methods in Mathematical P.hysics was held under the auspices of the University of Salamanca. As is traditional in this series of Conferences, it was devoted "to an exchange between physics and mathematics in I.\Jhich differential geometr i c viewpo ints 'play a predominant role". The main topic of the Conference was "Mathematical problems in Classical Field Theory" with special emphasis on Super field Theory, although
concerning
"Geometric Quantization" and "Symplectic techniques applied to Physics" were also offered since they are two topics strongly influenced by earlier DGM-Conferences. We shall
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