Global Differential Geometry and Global Analysis 1984 Proceedings of
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1156
Global Differential Geometry and Global Analysis 1984 Proceedings of a Conference held in Berlin, June 10-14, 1984
Edited by D. Ferus, R. B. Gardner, S. Helgason and U. Simon
Springer-Verlag Berlin Heidelberg New York Tokyo
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann
1156
Global Differential Geometry and Global Analysis 1984 Proceedings of a Conference held in Berlin, June 10-14, 1984
Edited by D. Ferus, R. B. Gardner, S. Helgason and U. Simon
Springer-Verlag Berlin Heidelberg New York Tokyo
Editors
Dirk Ferus Fachbereich 3 - Mathematik, Technische Universitat Berlin StraBe des 17. Juni 135, 1000 Berlin 12, Federal Republic of Germany Robert B. Gardner Department of Mathematics, University of North Carolina Chapel Hill, NC 27514, USA Sigurdur Helgason Department of Mathematics, Massachusetts Institute of Technology Cambridge, MA 02139, USA Udo Simon Fachbereich 3 - Mathematik, Technische Universitiit Berlin StraBe des 17. Juni 135, 1000 Berlin 12, Federal Republik of Germany
Mathematics Subject Classification (1980): 53-06, 53Cxx, 58-06
ISBN 3-540-15994-0 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-15994-0 Springer-Verlag New York Heidelberg Berlin Tokyo
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 1985 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr, 2146/3140-543210
Pre f ace
The Colloquium "Global Differential Geometry and Global Analysis 1984" was held June 10 - 14, 1984 at the Fachbereich Mathematik der Technischen Universitat Berlin. One hundred differential geometers and analysts from Europe and Overseas joined for a series of survey lectures on major recent developments and for workshops on a broad variety of topics. This volume reflects the structure of the conference and includes both, survey articles and research papers. Most of the contributions, however, contain more material, especially more details of proofs, than presented at the conference. The colloquium was supported by: Deutsche Forschungsgemeinschaft, Deutscher Akademischer Austauschdienst, Berliner Mathematische Gesellschaft, Gesellschaft der Freunde der TU Berlin, Technische Universitat Berlin. To all of them we express our sincere thanks. We also thank Bernd Wegner for his valuable help with the preparation of this volume, and the Springer-Verlag for the opportunity to publish it as a Lecture Note. The editors.
Con t e n t s
J. Beem, P. Ehrlich, S. Markvorsen, G. Galloway:
A Toponogov splitting
theorem for Lorentzian manifolds. A. Bejancu: A survey on CR-submanifolds of Kaehlerian manifolds. P. Berard: Isoperimetric inequalities, he
