Ebook Info
- Published: 2006
- Number of pages: 310 pages
- Format: PDF
- File Size: 1.50 MB
- Authors: Aurel Bejancu
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.
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Keywords
Free Download Foliations and Geometric Structures (Mathematics and Its Applications Book 580) 2006th Edition in PDF format
Foliations and Geometric Structures (Mathematics and Its Applications Book 580) 2006th Edition PDF Free Download
Download Foliations and Geometric Structures (Mathematics and Its Applications Book 580) 2006th Edition 2006 PDF Free
Foliations and Geometric Structures (Mathematics and Its Applications Book 580) 2006th Edition 2006 PDF Free Download
Download Foliations and Geometric Structures (Mathematics and Its Applications Book 580) 2006th Edition PDF
Free Download Ebook Foliations and Geometric Structures (Mathematics and Its Applications Book 580) 2006th Edition