Geometry and Algebra of Multidimensional Three-Webs - Couverture rigide

Akivis, M.; Shelekhov, A.M.

 
9780792316848: Geometry and Algebra of Multidimensional Three-Webs

Synopsis

Devoted to the geometry of multi-dimensional three-webs, this monograph presents the classical and more recent 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.

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Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9789401050593: Geometry and Algebra of Multidimensional Three-Webs

Edition présentée

ISBN 10 :  9401050597 ISBN 13 :  9789401050593
Editeur : Springer, 2012
Couverture souple