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Foliations and Geometric Structures

Medium: Buch
ISBN: 978-90-481-6941-2
Verlag: Springer
Erscheinungstermin: 19.11.2010
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9789048169412
  • Medium: Buch
  • ISBN: 978-90-481-6941-2
  • Verlag: Springer
  • Erscheinungstermin: 19.11.2010
  • Sprache(n): Englisch
  • Auflage: 1. Auflage. Softcover version of original hardcover Auflage 2006
  • Serie: Mathematics and Its Applications
  • Produktform: Kartoniert, Paperback
  • Gewicht: 501 g
  • Seiten: 300
  • Format (B x H x T): 160 x 240 x 17 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.