Integrable Systems and Foliations, Claude Albert; Robert Brouzet; Jean P. Dufour

Автор: Alvarez Lopez Jesus Et Al
Название: Foliations 2012 - Proceedings Of The International Conference
ISBN: 9814556858 ISBN-13(EAN): 9789814556859
Издательство: World Scientific Publishing
Цена: 18216.00 р.
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Описание:

This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference "FOLIATIONS 2012." It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire students and researchers interested in foliation theory and the related fields to plan his/her further research.

Автор: Philippe Tondeur
Название: Geometry of Foliations
ISBN: 3034898258 ISBN-13(EAN): 9783034898256
Издательство: Springer
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Описание: After a discussion of the basic concepts in the theory of foliations in the first four chapters, the subject is narrowed down to Riemannian foliations on closed manifolds beginning with Chapter 5. Chapter 9 on Lie foliations is a prepa- ration for the statement of Molino`s Structure Theorem for Riemannian foliations in Chapter 10.

Автор: Marco Brunella
Название: Birational Geometry of Foliations
ISBN: 3319365657 ISBN-13(EAN): 9783319365657
Издательство: Springer
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Цена: 9781.00 р.
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Описание: The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic surfaces.

Автор: Igor Nikolaev
Название: Foliations on Surfaces
ISBN: 3540675248 ISBN-13(EAN): 9783540675242
Издательство: Springer
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Цена: 18161.00 р.
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Описание: Foliations is one of the major concepts of modern geometry and topology, meaning a partition of topological space into a disjoint sum of leaves. This book covers geometry and topology of surface foliations and their links to dynamical systems, differential and noncommutative geometry.

Автор: Xiaolu Wang
Название: On the C*-Algebras of Foliations in the Plane
ISBN: 3540179038 ISBN-13(EAN): 9783540179030
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Presents the classification of C*-algebras of ordinary foliations of the plane in terms of a class of -trees. This monograph reveals a close connection between some developments in modern analysis and low-dimensional topology. It introduces noncommutative CW-complexes (as the global fibred products of C*-algebras), among other things.

Автор: C?sar Camacho; Alcides Lins Neto
Название: Geometric Theory of Foliations
ISBN: 146847149X ISBN-13(EAN): 9781468471496
Издательство: Springer
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Цена: 22359.00 р.
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Описание: Intuitively, a foliation corresponds to a decomposition of a manifold into a union of connected, disjoint submanifolds of the same dimension, called leaves, which pile up locally like pages of a book. The theory of foliations, as it is known, began with the work of C. Ehresmann and G. Reeb, in the 1940's; however, as Reeb has himself observed, already in the last century P. Painleve saw the necessity of creating a geometric theory (of foliations) in order to better understand the problems in the study of solutions of holomorphic differential equations in the complex field. The development of the theory of foliations was however provoked by the following question about the topology of manifolds proposed by H. Hopf in the 3 1930's: "Does there exist on the Euclidean sphere S a completely integrable vector field, that is, a field X such that X- curl X - 0?" By Frobenius' theorem, this question is equivalent to the following: "Does there exist on the 3 sphere S a two-dimensional foliation?" This question was answered affirmatively by Reeb in his thesis, where he 3 presents an example of a foliation of S with the following characteristics: There exists one compact leaf homeomorphic to the two-dimensional torus, while the other leaves are homeomorphic to two-dimensional planes which accu- mulate asymptotically on the compact leaf. Further, the foliation is C"".

Автор: Vladimir Rovenski
Название: Foliations on Riemannian Manifolds and Submanifolds
ISBN: 1461287170 ISBN-13(EAN): 9781461287179
Издательство: Springer
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Цена: 18167.00 р.
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Автор: Aurel Bejancu; Hani Reda Farran
Название: Foliations and Geometric Structures
ISBN: 9048169410 ISBN-13(EAN): 9789048169412
Издательство: Springer
Цена: 13974.00 р.
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Автор: Marco Brunella
Название: Birational Geometry of Foliations
ISBN: 3319143093 ISBN-13(EAN): 9783319143095
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic surfaces.

Автор: B.L. Reinhart
Название: Differential Geometry of Foliations
ISBN: 3642690173 ISBN-13(EAN): 9783642690174
Издательство: Springer
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Цена: 12577.00 р.
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Автор: Gilbert Hector; Ulrich Hirsch
Название: Introduction to the Geometry of Foliations, Part B
ISBN: 3528185686 ISBN-13(EAN): 9783528185688
Издательство: Springer
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Цена: 13060.00 р.
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Описание: "The book ...is a storehouse of useful information for the mathematicians interested in foliation theory." (John Cantwell, Mathematical Reviews 1992)

Автор: Pawel Walczak
Название: Dynamics of Foliations, Groups and Pseudogroups
ISBN: 3034896115 ISBN-13(EAN): 9783034896115
Издательство: Springer
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Описание: This book deals with the dynamics of general systems such as foliations, groups and pseudogroups, systems which are closely related via the notion of holonomy. It concentrates on notions and results related to different ways of measuring complexity of systems under consideration.