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Titlebook: Differential Geometry and Mathematical Physics; Lectures given at th M. Cahen,M. Wilde,L. Vanhecke Book 1983 D. Reidel Publishing Company,

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书目名称Differential Geometry and Mathematical Physics
副标题Lectures given at th
编辑M. Cahen,M. Wilde,L. Vanhecke
视频video
丛书名称Mathematical Physics Studies
图书封面Titlebook: Differential Geometry and Mathematical Physics; Lectures given at th M. Cahen,M. Wilde,L. Vanhecke Book 1983 D. Reidel Publishing Company,
描述This volume contains the text of the lectures which were given at the Differential Geometry Meeting held at Liege in 1980 and at the Differential Geometry Meeting held at Leuven in 1981. The first of these meetings was more orientated toward mathematical physics; the second has a stronger flavour of analysis. The Editors are pleased to thank the lectures who contributed scientifically to these two meetings. They are also grateful to Professor M. F1ato who has encouraged publication of these contributions in the Mathematical Physics Studies Series. We also thank the F.N.R.S. who supported financially the Contact group in differential geometry. The Universite de Liege and the Katholieke Universiteit Leuven which have given us a warm hospitality have contributed to the success of these meetings. We express our gratitude. The Editors. M. Caken et al. (6ds.), Differential Geametry and Mathematical Physics, vii. vii Copyright e 1983 by D. Reidel Publishing Company. Lectures given at the Meeting of the Belgian Contact Group on Differential Geometry held at Liege, May 2-3,1980 SIMULTANEOUS DEFORMATIONS OF A LIE ALGEBRA AND ITS MODULES D. Arnal University of Dijon INTRODUCTION We expose her
出版日期Book 1983
关键词Algebra; Lie group; Minimal surface; Theoretical physics; curvature; differential geometry; geometry; linea
版次1
doihttps://doi.org/10.1007/978-94-009-7022-9
isbn_softcover978-90-277-1508-1
isbn_ebook978-94-009-7022-9Series ISSN 0921-3767 Series E-ISSN 2352-3905
issn_series 0921-3767
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1983
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https://doi.org/10.1007/978-94-6091-784-4ir adjoint representation. A further restriction consists in taking not all p-cochains C but only the local ones (By Peetre’ theorem (2), these are precisely the multilinear differential operators). The corresponding cohomology spaces are denoted H. (N), H. (L), H. (L.).
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Local Chevalley Cohomologies of the Dynamical Lie Algebra of a Symplectic Manifoldir adjoint representation. A further restriction consists in taking not all p-cochains C but only the local ones (By Peetre’ theorem (2), these are precisely the multilinear differential operators). The corresponding cohomology spaces are denoted H. (N), H. (L), H. (L.).
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Some Aspects of Harmonic Maps from a Surface to Complex Projective Spaceps into ℂ ℙ. from holomorphic ones. This method classifies all harmonic maps S. → ℂ ℙ. and all harmonic maps from the torus to ℂ ℙ. of non-zero degree. Full details will appear in a paper by J. Eells and the author (11).
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Deformations of Algebras Associated with a Symplectic Manifoldfold. Such deformations give a new approach for Quantum Mechanics; this approach has been developped in other papers ((1),(2)). In this lecture, I will give recent results concerning the existence and the equivalence of associative deformations (or *.-products).
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