Geometry and Algebra of Multidimensional Three-Webs

ISBN-13: 9780792316848 / Angielski / Twarda / 1992 / 358 str.

M. A. Akivis; A. M. Shelekhov; M. Hazewinkel

Opis

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.

Recenzje

'The book is warmly recommended to everyone doing research in the related fields.' Deutschen Mathematiker-Vereinigung 97:21 1993

Spis treści

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.