Foliations and Geometric Structures

The theory of foliations of manifolds was created in the forties of the last century by Ch. Ehresmann and G. Reeb [ER44]. Since then, the subject has enjoyed a rapid development and thousands of papers investigating foliations have appeared. A list of papers and preprints on foliations up to 1995 can be found in Tondeur [Ton97]. Due to the great interest of topologists and geometers in this rapidly ev- ving theory, many books on foliations have also been published one after the other. We mention, for example, the books written by: I. Tamura [Tam76], G. Hector and U. Hirsch [HH83], B. Reinhart [Rei83], C. Camacho and A.L. Neto [CN85], H. Kitahara [Kit86], P. Molino [Mol88], Ph. Tondeur [Ton88], [Ton97], V. Rovenskii [Rov98], A. Candel and L. Conlon [CC03]. Also, the survey written by H.B. Lawson, Jr. [Law74] had a great impact on the de- lopment of the theory of foliations. So it is natural to ask: why write yet another book on foliations? The answerisverysimple.Ourareasofinterestandinvestigationaredi?erent.The main theme of this book is to investigate the interrelations between foliations of a manifold on one hand, and the many geometric structures that the ma- foldmayadmitontheotherhand.Amongthesestructureswemention:a?ne, Riemannian, semi Riemannian, Finsler, symplectic, and contact structures.

List of contents

Geometry of Distributions on a Manifold.- Structural and Transversal Geometry of Foliations.- Foliations on Semi-Riemannian Manifolds.- Parallel Foliations.- Foliations Induced by Geometric Structures.- A Gauge Theory on a Vector Bundle.

Product details

• Authors: Aure Bejancu, Aurel Bejancu, Hani Reda Farran
• Publisher: Springer Netherlands
• Languages: English
• Product format: Paperback / Softback
• Released: 20.10.2010
• EAN: 9789048169412
• ISBN: 978-90-481-6941-2
• No. of pages: 300
• Dimensions: 155 mm x 17 mm x 235 mm
• Weight: 476 g
• Illustrations: X, 300 p.
• Series: Mathematics and Its Applications; Mathematics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; B, geometry, Physics, Mathematics and Statistics, Differential Geometry, Mathematical physics, Mathematical Methods in Physics, Algebraic Topology, brandonwiskunde;gauge theory;geometry;manifold;vector bundle