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Foliations and Geometric Structures, Hardback Book

Foliations and Geometric Structures Hardback

Part of the Mathematics and Its Applications series

Hardback

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.

Information

  • Format:Hardback
  • Pages:300 pages, X, 300 p.
  • Publisher:Springer-Verlag New York Inc.
  • Publication Date:
  • Category:
  • ISBN:9781402037191

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Information

  • Format:Hardback
  • Pages:300 pages, X, 300 p.
  • Publisher:Springer-Verlag New York Inc.
  • Publication Date:
  • Category:
  • ISBN:9781402037191