Differential Geometry of Submanifolds Proceedings of the Conference
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1090
Differential Geometry of Submanifolds Proceedings of the Conference held at Kyoto, January 23-25, 1984
Edited by K. Kenmotsu
Springer-Verlag Berlin Heidelberg New York Tokyo 1984
Editor
K. Kenmotsu Department of Mathematics College of General Education, Tohoku University Kawauchi, Sendai 980, Japan
AMS Subject Classification (1980): 32E05, 32El0, 32F30, 35J20, 35J50, 49 FlO, 53A07, 53AlO, 53B25, 53C35, 53C40, 53C42, 53C45 ISBN 3-540-13873-0 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-13873-0 Springer-Verlag New York Heidelberg Berlin Tokyo Library of Congress Cataloging in Publication Data. Main entry under title: Differential geometry of submanifolds. (Lecture notes in mathematics; 1090) "Conference on Differential Geometry of Submanifolds at the Research Institute for Mathematical Sciences, Kyoto University, January 23-25, 1984"-Pref. Includes index. 1. Geometry, Differential-Congresses. 2. SubmanifoldsCongresses. I. Kenmotsu, K. (Katsuei), 1942-. II. Conference on Differential Geometry of Submanifolds (1984: Research Institute for Mathematical Sciences, Kyoto University) Ill. Series: Lecture notes in mathematics (Springer-Verlag); 1090. QA3.L28 no. 1090 510 s [516.3'6J 84-22129 [QA641] ISBN 0-387-13873-0 (U.S.) This work IS subject to copynght. All rights are reserved, whether the whole or part of the rnatenal 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/Bergslr. 2146/3140-543210
PREFACE
These proceedings report all the substance of talks contributed by participants in the Conference on Differential Geometry of Submanifolds at the Research Institute For Mathematicl Sciences, Kyoto University January 2325, 1984. The aims of the Conference was to present recent researches of young Japanese mathematicians which treated topics mentioned in the title and to stimulate discussions for future studies. In fact, contributors: T.Adachi, Y.Ohnita, S.Takakuwa and M.Koiso are students of graduate schools. I selected speakers of this conference under the suggestion of young members of our seminar in Tohoku University. Almost all included papers show very recent results of participants which were probably achieved in 1983. We wish to thank all contributors for their eager participation and their collaboration in sending their texts. We would also like to acknowledge the financial support of the Research Institute for Mathematical Sciences, Kyoto University and SpringerVerlag for publishing this volume. We have included as an appendix the text of a talk given subsequently at a conference in Tsukuba (Japan) in February, 1984, as it seemed a particulary apt addition to these proceedings.
Sendai,
July
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