Differential Geometric Methods in Mathematical Physics Proceedings o
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Differential Geometric Methods in Mathematical Physics Proceedings of an International Conference Held at the Technical University of Clausthal, FRG, August 30-September 2, 1983
Edited by H. O. Ooebner and J. O. Hennig
Springer-Verlag Berlin Heidelberg New York Tokyo
Editors
Heinz-Dietrich Doebner Jorq-Dieter Hennig Institut fur Theoretische Physik A, Technische Universitat Clausthal 3392 Clausthal-Zellerfeld, Federal Republic of Germany
Mathematics Subject Classification (1980): 49H, 53B, 53C, 58C, 58F, 70E, 81 C, 81 G, 83D, 73C, 55N, 20F.
ISBN 3-540-15666-6 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-15666-6 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
Preface
The XII. International Conference of the series "Differential Geometric Methods in Mathematical/Theoretical Physics"
(DGM-series) took place at
the Institute for Theoretical Physics A, Technical University of Clausthal, Germany F.R., August 30 - September 2, 1983. It was organized by H.D. Doebner, S.I. Andersson (Clausthal) and G. Denardo (Trieste) The DGM-series was initiated by K. Bleuler and H.D. Doebner 1971 in Bonn, continued in Bonn (1973,1975),
(1974,1979),
Warsaw (1976), Clausthal (1978,1980), Salamanca (1979), Trieste (1981) and Jerusalem (1982). The idea of the series is to promote the application of geometrical, analytical and algebraical methods and their interplay, especially differential-geometrical and -topological ones for the modelling of complex physical systems, and to exploit the often hidden geometry and symmetry of such systems. Over the years the conferences gathered quite a large number of prominent researchers in this branch of mathematics/ mathematical physics and the field of the DGM series grew considerably. They stimulated also an increasing interest in developing new mathematical techniques in connection with the geometrical structure of physical systems. The topics of the XII. DGM conference are roughly described by the following key words, which are also the titles of the chapters - Momentum Mappings and Invariants - Aspects of Quantizations - Structure of Gauge Theories - Non-Linear Systems, Integrability and Foliations - Geometrical Modelling of Special Systems. The articles in this volume cover only part of the material presented at the conference (48 lectures). The editors agree with the general editorial requirement of homogeneity in a lecture notes volume, which applies also to these proceedings. Hence it was not possi
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