Foliations and geometric structures
Author(s)
Bibliographic Information
Foliations and geometric structures
（Mathematics and its applications, 580）
Springer, c2006
- : hbk
Available at / 21 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hbkBEJ||2||405098138
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: hbk514.72/B3972080044697
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table 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.
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