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This monograph, which is the first to be devoted to the geometry of multidimensional three-webs, presents the classical adn up-to-date results of the theory, and those parts of geometry and algebra which are closely connected with it. Many problems of the theory of smooth quasigroups and loops are considered. In addition to the general theory of webs, important classes of special webs are also studied.
The volume contains eight chapters dealing with geometric and algebraic structures associated with three-webs, transversally geodesic and isoclinic three-webs, Bol and Moufang three-webs, closed G-structures, automorphisms of three-webs, the geometry of the fourth-order differential neighborhood of a multidimensional three-web, and d-webs of codimension r. The book concludes with some appendices and a comprehensive bibliography.
This volume will be of particular interest to graduate students and researchers working in the areas of differential and algebraic geometry and algebra.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
'The book is warmly recommended to everyone doing research in the related fields.' Deutschen Mathematiker-Vereinigung 97:21 1993
Contenuti
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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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 Associ. Codice articolo 5831793
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware - 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 380 pp. Englisch. Codice articolo 9789401050593
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Geometry and Algebra of Multidimensional Three-Webs (Mathematics and its Applications)
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware - 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. 380 pp. Englisch. Codice articolo 9789401050593
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