Foliations and Geometric Structures (Mathematics and its Applications v. 580)

Foliations and Geometric Structures (Mathematics and its Applications v. 580)

By: Aurel Bejancu (author), Hani Reda Farran (author)Paperback

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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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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.

Product Details

  • publication date: 22/11/2005
  • ISBN13: 9781402037191
  • Format: Paperback, Hardback
  • Number Of Pages: 310
  • ID: 9781402037191
  • weight: 615
  • ISBN10: 1402037198

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