Foliations and Geometric Structures (Mathematics and Its Applications, Vol. 580) - Hardcover
This self-contained book starts with the basic material on distributions and foliations. It then gradually introduces and builds the tools needed for studying the geometry of foliated manifolds. The main theme of the book is to investigate the interrelations between foliations of a manifold on the one hand, and the many geometric structures that the manifold may admit on the other hand. Among these structures are: affine, Riemannian, semi-Riemannian, Finsler, symplectic, complex and contact structures. Using these structures, the book presents interesting classes of foliations whose geometry is very rich and promising. These include the classes of: Riemannian, totally geodesic, totally umbilical, minimal, parallel non-degenerate, parallel totally - null, parallel partially - null, symmetric, transversally symmetric, Lagrange, totally real and Legendre foliations. Some of these classes appear for the first time in the literature in book form. Finally, the vertical foliation of a vector bundle is used to develop a gauge theory on the total space of a vector bundle.
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- PublisherSpringer
- Publication date2005
- ISBN 10 1402037198
- ISBN 13 9781402037191
- BindingHardcover
- Number of pages310
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Foliations and Geometric Structures (Mathematics and Its Applications, Vol. 580) by Bejancu, Aurel, Farran, Hani Reda [Hardcover ]
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Foliations and Geometric Structures (Mathematics and Its Applications, Vol. 580)
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 312 pp. Englisch. Seller Inventory # 9781402037191
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Foliations and Geometric Structures
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Foliations and Geometric Structures
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ISBN 10: 1402037198
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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781402037191
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Foliations and Geometric Structures
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Book Description Hardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9781402037191
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Book Description Condition: New. Offers basic material on distributions and foliations. This book introduces and builds the tools needed for studying the geometry of foliated manifolds. Its main theme is to investigate the interrelations between foliations of a manifold on the one hand, and the many geometric structures that the manifold may admit on the other hand. Series: Mathematics and its Applications. Num Pages: 300 pages, biography. BIC Classification: PBPH. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 166 x 241 x 24. Weight in Grams: 612. . 2005. 2006th Edition. Hardcover. . . . . Seller Inventory # V9781402037191
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Foliations and Geometric Structures
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Springer-Verlag New York Inc.
(2005)
ISBN 10: 1402037198
ISBN 13: 9781402037191
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Hardcover
Quantity: 15
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Book Description Condition: New. Offers basic material on distributions and foliations. This book introduces and builds the tools needed for studying the geometry of foliated manifolds. Its main theme is to investigate the interrelations between foliations of a manifold on the one hand, and the many geometric structures that the manifold may admit on the other hand. Series: Mathematics and its Applications. Num Pages: 300 pages, biography. BIC Classification: PBPH. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 166 x 241 x 24. Weight in Grams: 612. . 2005. 2006th Edition. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9781402037191
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