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FOLIATIONS AND GEOMETRIC STRUCTURES -- 2006
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eBay-Artikelnr.:361394418800
Artikelmerkmale
- Artikelzustand
- Topic
- Mathematics
- Subject
- Math
- ISBN
- 9781402037191
- EAN
- 9781402037191
Über dieses Produkt
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
1402037198
ISBN-13
9781402037191
eBay Product ID (ePID)
47970678
Product Key Features
Number of Pages
X, 300 Pages
Publication Name
Foliations and Geometric Structures
Language
English
Subject
Geometry / Differential, Geometry / General, Topology, Physics / Mathematical & Computational
Publication Year
2005
Type
Textbook
Subject Area
Mathematics, Science
Series
Mathematics and Its Applications Ser.
Format
Hardcover
Dimensions
Item Weight
48 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2006-296725
Dewey Edition
22
Series Volume Number
580
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
514/.72
Table Of Content
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.
Synopsis
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., 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.
LC Classification Number
QA641-670
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