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 ca...

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Bibliographic Details
Main Authors: Farran, Hani Reda (Author), Bejancu, Aurel, 1946- (Author)
Format: Livre numérique
Language:Anglais
Published: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Series:Mathematics and its applications 580
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Note: Description d'après consultation du 25 mars 2011
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Edition sous un autre format:• Foliations and geometric structures, by Aurel Bejancu and Hani Reda Farran, Dordrecht, Springer, 2006, 1 vol. (VII-300 p.), Mathematics and its applications, 1-4020-3719-8
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Summary: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
Item Description:Description d'après consultation du 25 mars 2011
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ISBN:1402037201
9781402037207
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