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Foliations and Geometric Structures (Paperback, Softcover reprint of hardcover 1st ed. 2006)
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Foliations and Geometric Structures (Paperback, Softcover reprint of hardcover 1st ed. 2006)
Series: Mathematics and Its Applications, 580
Expected to ship within 10 - 15 working days
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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.
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