Foliations and Geometric Structures

Name: Foliations and Geometric Structures
Brand: Springer-Verlag New York Inc.
SKU: 9781402037191
Price: 423.79 PLN
Availability: InStock

Autor: Aurelian Bejancu, Hani Reda Farran

Język:

Oprawa: Twarda

Wydawca: Springer-Verlag New York Inc.

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-13 dni

423.79 zł

This self-contained book starts with the basic material on distributions and foliations. It then gra...

Informacje o książce

Autor

Aurelian Bejancu, Hani Reda Farran

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2005

strony

300

EAN

9781402037191

ISBN

1402037198

Enbook ID

01416280

Wydawca

Springer-Verlag New York Inc.

Waga

612

Wymiary

241 x 166 x 24

Pełny opis

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 admiton 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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