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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 - gebunden oder broschiert

ISBN: 9780817631390

[ED: Hardcover], [PU: Springer, Basel Birkhäuser Basel], 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". 1984. viii, 206 S. 1 SW-Abb.,. 254 mm Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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Geometric Theory of Foliations - César Camacho
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César Camacho:
Geometric Theory of Foliations - neues Buch

1, ISBN: 9780817631390

[ED: Buch], [PU: Birkhäuser], Neuware - 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''., DE, [SC: 0.00], Neuware, gewerbliches Angebot, FixedPrice, 220, [GW: 460g], offene Rechnung (Vorkasse vorbehalten), PayPal, Banküberweisung

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Geometric Theory of Foliations - César Camacho
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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César Camacho:
Geometric Theory of Foliations - neues Buch

1, ISBN: 9780817631390

[ED: Buch], [PU: Birkhäuser], Neuware - 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''., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 244x164x22 mm, 220, [GW: 460g], PayPal, Banküberweisung, Internationaler Versand

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Geometric Theory of Foliations - Alcides Lins Neto; Cesar Camacho
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Alcides Lins Neto; Cesar Camacho:
Geometric Theory of Foliations - gebrauchtes Buch

ISBN: 0817631399

ID: 15033892

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. nature Books, Springer

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Geometric Theory of Foliations - Cesar Camacho; Alcides Lins Neto
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Cesar Camacho; Alcides Lins Neto:
Geometric Theory of Foliations - gebunden oder broschiert

1984, ISBN: 9780817631390

ID: 3981179

1985 ed., Hardcover, Buch, [PU: Birkhauser Boston Inc]

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