Geometry and Algebra of Multidimensional Three-Webs
Language: English
Published by Springer, Springer Okt 2012, 2012
- Softcover
- New
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germanybuchversandmimpf2000
AbeBooks seller since January 23, 2017
Condition: New
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This item is printed on demand - Print on Demand Titel. Neuware -1 Three-Webs and Geometric Structures Associated with Them.- 1.1 G-Structures, Fibrations and Foliations.- 1.2 Three-Webs on Smooth Manifolds.- 1.3 Geometry of the Tangent Space of a Multidimensional Three-Web.- 1.4 Structure Equations of a Multidimensional Three-Web.- 1.5 Parallelizable and Group Three-Webs.- 1.6 Computation of the Torsion and Curvature Tensors of a Three-Web.- 1.7 The Canonical Chern Connection on a Three-Web.- 1.8 Other Connections Associated with a Three-Web.- 1.9 Subwebs of Multidimensional Three-Webs.- Problems.- Notes.- 2 Algebraic Structures Associated with Three-Webs.- 2.1 Quasigroups and Loops.- 2.2 Configurations in Abstract Three-Webs.- 2.3 Identities in Coordinate Loops and Closure Conditions.- 2.4 Local Differentiable Loops and Their Tangent Algebras.- 2.5 Tangent Algebras of a Multidimensional Three-Web.- 2.6 Canonical Coordinates in a Local Analytic Loop.- 2.7 Algebraic Properties of the Chern Connection.- Problems.- Notes.- 3 Transversally Geodesic and Isoclinic Three-Webs.- 3.1 Transversally Geodesic and Hexagonal Three-Webs.- 3.2 Isoclinic Three-Webs.- 3.3 Grassmann Three-Webs.- 3.4 An Almost Grassmann Structure Associated with a Three-Web. Problems of Grassmannization and Algebraization.- 3.5 Isoclinicly Geodesic Three-Webs. Three-Webs over Algebra.- Problems.- Notes.- 4 The Bol Three-Webs and the Moufang Three-Webs.- 4.1 The Bol Three-Webs.- 4.2 The Isoclinic Bol Three-Webs.- 4.3 The Six-Dimensional Bol Three-Webs.- 4.4 The Moufang Three-Webs.- 4.5 The Moufang Three-Web of Minimal Dimension.- Problems.- Notes.- 5 Closed G-Structures Associated with Three-Webs.- 5.1 Closed G-Structures on a Smooth Manifold.- 5.2 Closed G-Structures Defined by Multidimensional Three-Webs.- 5.3 Four-dimensional Hexagonal Three-Webs.- 5.4 The Closure ofThe G-Structure Defined by a Multidimensional Hexagonal Three-Web.- 5.5 Three-Webs and Identities in Loops.- Problems.- Notes.- 6 Automorphisms of Three-Webs.- 6.1 The Autotopies of Quasigroups and Three-Webs.- 6.2 Infinitesimal Automorphisms of Three-Webs.- 6.3 Regular Infinitesimal Automorphisms of Three-Webs.- 6.4 G-Webs.- Problems.- Notes.- 7 Geometry of the Fourth Order Differential Neighborhood of a Multidimensional Three-Web.- 7.1 Computation of Covariant Derivatives of the Curvature Tensor of a Three-Web.- 7.2 Internal Mappings in Coordinate Loops of a Three-Web.- 7.3 An Algebraic Characterization of the Tangent W4-Algebra of a Three-Web.- 7.4 Classification of Three-Webs in the Fourth Order Differential Neighborhood.- 7.5 Three-Webs with Elastic Coordinate Loop.- Problems.- Notes.- 8 d-Webs of Codimension r.- 8.1 (n + 1)-Webs on a Manifold of Dimension nr.- 8.2 (n + 1)-Webs on a Grassmann Manifold.- 8.3 (n + 1)-Webs and Almost Grassmann Structures.- 8.4 Transversally Geodesic and Isoclinic (n + 1)-Webs.- 8.5 d-Webs on a Manifold of Dimension nr.- 8.6 The Algebraization Problem for Multidimensional d-Webs.- 8.7 The Rank Problem for d-Webs.- Problems.- Notes.- Appendix A.- Symbols Frequently Used.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 380 pp. Englisch.…
Seller Inventory # 9789401050593
- Title
- Geometry and Algebra of Multidimensional Three-Webs
- Author
- M. Akivis
- Publisher
- Springer, Springer Okt 2012
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 9401050597
- ISBN 13
- 9789401050593
- Item weight
- 606 grams
- Dimensions
- 240x160x21 mm
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.
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buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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