Foliations and Geometric Structures: 580 (Mathematics and Its Applications, 580) - Image 1

£87.93

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

Name: Foliations and Geometric Structures: 580 (Mathematics and Its Applications, 580)
Brand: Springer
Price: 87.93 GBP
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Geometry & Topology

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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

Brand: Springer
Format: hardcover
ASIN: 1402037198
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 22 November 2005
Listed Since: 09 December 2006

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

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