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140122  eng 
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a 9789400930131

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a Goldberg, Vladislav V.

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a Theory of Multicodimensional (n+1)Webs
h Elektronische Ressource
c by Vladislav V. Goldberg

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a 1st ed. 1988

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a Dordrecht
b Springer Netherlands
c 1988, 1988

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a XXI, 466 p
b online resource

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a Symbols Frequently Used

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a 1 Differential Geometry of Multicodimensional (n + 1)Webs  1.1 Fibrations, Foliations, and dWebs W(d, n, r) of Codimension r on a Differentiable Manifold Xnr  1.2 The Structure Equations and Fundamental Tensors of a Web W(n + 1, n, r)  1.3 Invariant Affine Connections Associated with a Web W(n + 1, n, r)  1.4 Webs W(n + 1, n, r) with Vanishing Curvature  1.5 Parallelisable (n + 1)Webs  1.6 (n + 1)Webs with Paratactical 3Subwebs  1.7 (n + 1)Webs with Integrable Diagonal Distributions of 4Subwebs  1.8 (n + 1)Webs with Integrable Diagonal Distributions  1.9 Transversally Geodesic (n + 1)Webs  1.10 Hexagonal (n + 1)Webs  1.11 Isoclinic (n + 1)Webs  Notes  2 Almost Grassmann Structures Associated with Webs W(n + 1, n, r)  2.1 Almost Grassmann Structures on a Differentiable Manifold  2.2 Structure Equations and Torsion Tensor of an Almost Grassmann Manifold  2.3 An Almost Grassmann Structure Associated with a Web W(n + 1, n, r) 

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a 6.3 Application of the Theory of (n + 1)Webs to the Theory of Holomorphic Mappings between Polyhedral Domains  Notes  7 The Theory of FourWebs W(4, 2, r)  7.1 Differential geometry of FourWebs W(4, 2, r)  7.2 Special Classes of Webs W(4, 2, r)  7.3 The Canonical Expansions of the Equations of a Pair of Orthogonal Quasigroups Associated with a Web W(4, 2, r)  7.4 Webs W(4, 2, r) Satisfying the Desargues and Triangle Closure Conditions  7.5 A Classification of Group Webs W(4, 2, 3)  7.6 Grassmann Webs GW(4, 2, r)  7.7 Grassmann Webs GW(4, 2, r) with Algebraic 3Subwebs  7.8 Algebraic Webs AW(4, 2, r)  Notes  8 Rank Problems for Webs W(d, 2, r)  8.1 Almost Grassmannisable and Almost Algebraisable Webs W(d, 2, r)  8.2 1Rank Problems for Almost Grassmannisable Webs AGW(d, 2, r)  8.3 rRank Problems for Webs W(d, 2, r)  8.4 Examples of Webs W(4, 2, 2) of Maximum 2Rank  8.5 The Geometry of The Exceptional Webs W(4, 2, 2) of Maximum 2Rank  Notes 

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a 2.4 Semiintegrable Almost Grassmann Structures and Transversally Geodesic and Isoclinic (n + 1)Webs  2.5 Double Webs  2.6 Problems of Grassmannisation and Algebraisation and Their Solution for Webs W(d, n, r), d ? n + 1  Notes  3 Local Differentiable nQuasigroups Associated with a Web W(n + 1, n, r)  3.1 Local Differentiable nQuasigroups of a Web W(n + 1, n, r)  3.2 Structure of a Web W(n + 1, n, r) and Its Coordinate nQuasigroups in a Neighbourhood of a Point  3.3 Computation of the Components of the Torsion and Curvature Tensors of a Web W(n + 1, n, r) in Terms of Its Closed Form Equations  3.4 The Relations between the Torsion Tensors and Alternators of Parastrophic Coordinate nQuasigroups  3.5 Canonical Expansions of the Equations of a Local Analytic nQuasigroup  3.6 The OneParameter nSubquasigroupsof a Local Differentiable nQuasigroup  3.7 Comtrans Algebras  Notes  4 Special Classes of Multicodimensional (n + 1)Webs 

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a 4.1 Reducible (n + 1)Webs  4.2 Multiple Reducible and Completely Reducible (n + 1)Webs  4.3 Group (n + 1)Webs  4.4 (2n + 2)Hedral (n + 1)Webs  4.5 Bol (n + 1)Webs  5 Realisations of Multicodimensional (n + 1)Webs  5.1 Grassmann (n + 1)Webs  5.2 The Grassmannisation Theorem for Multicodimensional (n + 1)Webs  5.3 Reducible Grassmann (n + 1)Webs  5.4 Algebraic, Bol Algebraic, and Reducible Algebraic (n + 1)Webs  5.5 Moufang Algebraic (n + 1)Webs  5.6 (2n + 2)Hedral Grassmann (n + 1)Webs  5.7 The Fundamental Equations of a Diagonal 4Web Formed by Four Pencils of (2r)Planes in P3r  5.8 The Geometry of Diagonal 4Webs in P3r  Notes  6 Applications of the Theory of (n + 1)Webs  6.1 The Application of the Theory of (n + 1)Webs to the Theory of Point Correspondences of n + 1 Projective Lines  6.2 The Application of the Theory of (n + 1)Webs to the Theory of Point Correspondences of n + 1 Projective Spaces 

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a Geometry, Differential

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a Algebraic Geometry

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a Mathematical analysis

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a Analysis

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a Algebraic geometry

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a Differential Geometry

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a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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a Mathematics and Its Applications

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a 10.1007/9789400930131

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u https://doi.org/10.1007/9789400930131?nosfx=y
x Verlag
3 Volltext

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a 516.36

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a Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (nontrivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and largescale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics
