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Springer Foliations and Geometric Structures: 580 (Mathematics and Its Applications, 580)

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£89.19 £82.49 £83.95 £85.41 £86.88 £88.34 £89.80 25 July 2026 08 August 2026 23 August 2026 07 September 2026 22 September 2026
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Description

This self-contained book starts with the basic material on distributions and foliations. It then gradually introduces and builds the tools needed for studying the geometry of foliated manifolds. The main theme of the book is to investigate the interrelations between foliations of a manifold on the one hand, and the many geometric structures that the manifold may admit on the other hand. Among these structures are: affine, Riemannian, semi-Riemannian, Finsler, symplectic, complex and contact structures. Using these structures, the book presents interesting classes of foliations whose geometry is very rich and promising. These include the classes of: Riemannian, totally geodesic, totally umbilical, minimal, parallel non-degenerate, parallel totally - null, parallel partially - null, symmetric, transversally symmetric, Lagrange, totally real and Legendre foliations. Some of these classes appear for the first time in the literature in book form. Finally, the vertical foliation of a vector bundle is used to develop a gauge theory on the total space of a vector bundle.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
22 November 2005
Listed Since
09 December 2006

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