Differential Geometry Proceedings of the International Symposium hel

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1045 Differential Geometry Proceedings of the International Symposium held at PeWscola, Spain, October 3-lo,1982

Edited by A. M. Naveira

Springer-Verlag Berlin Heidelberg New York Tokyo 1984

Editor

Antonio M. Naveira Departamento de Geometrfa y Topologia Facultad de Matematicas Burjasot, Valencia, Spain

AMS Subject Classifications (1980): 22 E, 53A, 53B, 53C, 57 R, 57 S, 58A, 58B, 58C, 58G, 81 E ISBN 3-540-12882-4 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12882-4 Springer-Verlag New York Heidelberg Berlin Tokyo

Library of Congress Cataloging in Publication Data. Main entry under title: Differential geometry. (Lecture notes in mathematics; 1045) In English and French. Proceedings of the Symposium on Differential Geometry. 1. Geometry, Differential-Congresses. I. Naveira, A. M. (Antonio Martinez), 1940-. II. Symposium on Differential Geometry (1982: Peiiiscola, Spain) III. Series: Lecture notes in mathematics (Springer-Verlag); 1045. OA3.L28 no. 1045 [OA641] 51Os [516.3'6] 83-20457 ISBN 0-387-12882-4 (U.S.) This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.

© by Springer-Verlag Berlin Heidelberg 1984 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210

PREFACE The present volume includes the texts of all lectures given at a Symposium on Differential Geometry which was held at Peniscola, Spain, from October 3 to 10, 1982. The Symposium was attended by some forty mathematicians from allover the world. There have been five International Symposia on Differential Geometry in Spain during the last twenty years. One of them took place in Salamanca (1979), and the remaining four in Santiago de Compostela (1962, 1967,1972,1978). Of those, the first three ones were organized by Prof. E. Vidal Abascal and the last one was held in his hommage at his retirement. Our wish when organizing this Symposium has been to continue with this tradition initiated by Prof. Vidal Abascal to whom we express our deepest gratitude for his exemplary contribution to the development of Differential Geometry in Spain. We hope to be able to continue with this tradition by holding these meetings periodically. The Organizing Commitee of this Symposium is glad to express its gratitude to all those who contributed to the success of the meeting and in particular to all participants. We also wish to express our sincere thanks to the Ministerio de Educaci6n, to the Facultad de Matematicas de Valencia, to the Diputaci6n Provincial de Castellon for their generous financial support, and to the Instituto de Administraci6n Local de Peniscola for allowing us to use their

premises

during the

Symposium. The facilities g