Foliations and Geometric Structures
(Sprache: Englisch)
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...
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Klappentext zu „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.
Inhaltsverzeichnis zu „Foliations and Geometric Structures “
- Geometry of Distributions on a Manifold- Structural and Transveral Geometry of Foliations
- Foliations on Semi-Riemannian Manifolds
- Parallel Foliations
- Foliations Induced by Geometric Structures
- A Gauge Theory on a Vector Bundle
- Basic Notations and Terminology
- References
- Index.
Bibliographische Angaben
- Autoren: Aurel Bejancu , Hani Reda Farran
- 2005, 2006, 300 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer Netherlands
- ISBN-10: 1402037198
- ISBN-13: 9781402037191
- Erscheinungsdatum: 22.11.2005
Sprache:
Englisch
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