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Geometric Theory of Foliations César Camacho Author
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ISBN: 9780817631390

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 pag… mais…

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Geometric Theory of Foliations César Camacho Author - nuovo livro

ISBN: 9780817631390

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 pag… mais…

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Geometric Theory of Foliations
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ISBN: 9780817631390

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 pag… mais…

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Geometric Theory of Foliations - Camacho, César, Lins Neto, Alcides
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Camacho, César, Lins Neto, Alcides:
Geometric Theory of Foliations - encadernada, livro de bolso

1984, ISBN: 9780817631390

Birkhäuser, Hardcover, Auflage: 1985, 214 Seiten, Publiziert: 1984-01-01T00:00:01Z, Produktgruppe: Book, 1.04 kg, Verkaufsrang: 5097571, Earth Sciences, Science & Math, Subjects, Books, H… mais…

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Geometric Theory of Foliations - Lins Neto, Alcides; Camacho, César
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Lins Neto, Alcides; Camacho, César:
Geometric Theory of Foliations - encadernada, livro de bolso

1984, ISBN: 0817631399

1985 Gebundene Ausgabe Lie; manifold; Topology; equation; foliation; Geometry; theorem, mit Schutzumschlag 11, [PU:Birkhäuser Boston]

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Geometric Theory of Foliations César Camacho Author

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"

Dados detalhados do livro - Geometric Theory of Foliations César Camacho Author


EAN (ISBN-13): 9780817631390
ISBN (ISBN-10): 0817631399
Livro de capa dura
Livro de bolso
Ano de publicação: 2007
Editor/Editora: Birkhäuser Boston Core >2 >T
220 Páginas
Peso: 0,497 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-06-29T10:06:28-03:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2024-03-13T06:10:17-03:00 (Sao Paulo)
Número ISBN/EAN: 9780817631390

Número ISBN - Ortografia alternativa:
0-8176-3139-9, 978-0-8176-3139-0
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: lins, neto, cesar, linß, camacho, ehresmann, painleve, frobenius nikolai
Título do livro: geometric theory foliations, geo, camacho


Dados da editora

Autor: César Camacho
Título: Geometric Theory of Foliations
Editora: Birkhäuser; Birkhäuser Boston
206 Páginas
Ano de publicação: 1984-01-01
Boston; MA; US
Peso: 1,040 kg
Língua: Inglês
164,99 € (DE)

BB; Geometry; Hardcover, Softcover / Mathematik/Geometrie; Geometrie; Verstehen; Lie; Manifold; Topology; equation; foliation; geometry; theorem; Geometry; BC; EA

I — Differentiable Manifolds.- II — Foliations.- III — The Topology of the Leaves.- IV — Holonomy and the Stability Theorems.- V — Fiber Bundles and Foliations.- VI — Analytic Foliations of Codimension One.- VII — Novikov’s Theorem.- VIII — Topological Aspects of the Theory of Group Actions.- Appendix — Frobenius’ Theorem.- §1. Vector fields and the Lie bracket.- §2. Frobenius’ theorem.- §3. Plane fields defined by differential forms.- Exercises.

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