Geometry and algebra of multidimensional three-webs


Geometry and algebra of multidimensional three-webs

by Maks A. Akivis and Alexander M. Shelekhov ; translated from Russian by Vladislav V. Goldberg

(Mathematics and its applications, . Soviet series ; v. 82)

Kluwer Academic Publishers, c1992

大学図書館所蔵 件 / 22



Translated from the Russian

Includes bibliographical references and index



*Et moi, ..., Ii j'avait so comment en revenir. je One serviee mathematics has rendered the n 'y serais point all~.' human nee. It hal put rommon sense back Jules Verne whme it belongs, on the topmost shelf next to the dusty canister labelled' discarded nonsense'. The series il divergent; therefore we may be EricT. Bell able to do scmething with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics ...'; 'One service logic has rendered computer science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.


  • Preface. 1. Three-Webs and Geometric Structures Associated with Them. 2. Algebraic Structures Associated with Three-Webs. 3. Transversally Geodesic and Isoclinic Three-Webs. 4. The Bol Three-Webs and the Moufang Three-Webs. 5. Closed G-Structures Associated with Three-Webs. 6. Automorphisms of Three-Webs. 7. Geometry of the Fourth Order Differential Neighborhood of a Multidimensional Three-Web. 8. d-Webs of Codimension r. Appendix A. Web Geometry and Mathematical Physics
  • E.V. Ferapontov. Bibliography. Symbols Frequently Used. Index.

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  • ISBN
    • 0792316843
  • LCCN
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  • 出版地
    Dordrecht ; Boston
  • ページ数/冊数
    xvii, 358 p.
  • 大きさ
    25 cm
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