Foliations and Geometric Structures
Seiten
2010
|
Softcover reprint of hardcover 1st ed. 2006
Springer (Verlag)
978-90-481-6941-2 (ISBN)
Springer (Verlag)
978-90-481-6941-2 (ISBN)
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.
Amongthesestructureswemention:a?ne, Riemannian, semi-Riemannian, Finsler, symplectic, and contact structures.
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.
Erscheint lt. Verlag | 19.11.2010 |
---|---|
Reihe/Serie | Mathematics and Its Applications ; 580 |
Zusatzinfo | X, 300 p. |
Verlagsort | Dordrecht |
Sprache | englisch |
Maße | 160 x 240 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
Naturwissenschaften ► Physik / Astronomie | |
ISBN-10 | 90-481-6941-0 / 9048169410 |
ISBN-13 | 978-90-481-6941-2 / 9789048169412 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Gekrümmte Kurven und Flächen
Buch | Softcover (2024)
De Gruyter (Verlag)
49,95 €
Buch | Hardcover (2022)
Freies Geistesleben (Verlag)
24,00 €