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Geometric Theory of Foliations - César Camacho, Alcides Lins Neto
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César Camacho, Alcides Lins Neto:

Geometric Theory of Foliations - gebunden oder broschiert

ISBN: 0817631399

[SR: 1924711], Hardcover, [EAN: 9780817631390], Birkhäuser, Birkhäuser, Book, [PU: Birkhäuser], Birkhäuser, 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", 13592, Earth Sciences, 16053161, Atmospheric Sciences, 226695, Cartography, 16053231, Climatology, 13577, Crystallography, 13596, Earthquakes & Volcanoes, 13529, Ecology, 13598, Environmental Science, 226694, Geochemistry, 13602, Geography, 13603, Geology, 13605, Geophysics, 13665, Hydrology, 13615, Mineralogy, 13617, Natural Disasters, 13625, Rivers, 14538, Rocks & Minerals, 13628, Seismology, 14484, Weather, 75, Science & Math, 1000, Subjects, 283155, Books, 13871, History & Philosophy, 75, Science & Math, 1000, Subjects, 283155, Books, 226700, Geometry & Topology, 13928, Algebraic Geometry, 13930, Analytic Geometry, 13932, Differential Geometry, 13936, Non-Euclidean Geometries, 13987, Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 491730, Earth Sciences, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491546, Geometry, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Geometric Theory of Foliations - César Camacho, Alcides Lins Neto
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César Camacho, Alcides Lins Neto:

Geometric Theory of Foliations - gebunden oder broschiert

ISBN: 0817631399

[SR: 1924711], Hardcover, [EAN: 9780817631390], Birkhäuser, Birkhäuser, Book, [PU: Birkhäuser], Birkhäuser, 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", 13592, Earth Sciences, 16053161, Atmospheric Sciences, 226695, Cartography, 16053231, Climatology, 13577, Crystallography, 13596, Earthquakes & Volcanoes, 13529, Ecology, 13598, Environmental Science, 226694, Geochemistry, 13602, Geography, 13603, Geology, 13605, Geophysics, 13665, Hydrology, 13615, Mineralogy, 13617, Natural Disasters, 13625, Rivers, 14538, Rocks & Minerals, 13628, Seismology, 14484, Weather, 75, Science & Math, 1000, Subjects, 283155, Books, 13871, History & Philosophy, 75, Science & Math, 1000, Subjects, 283155, Books, 226700, Geometry & Topology, 13928, Algebraic Geometry, 13930, Analytic Geometry, 13932, Differential Geometry, 13936, Non-Euclidean Geometries, 13987, Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 491730, Earth Sciences, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491546, Geometry, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Geometric Theory of Foliations - Camacho, César and Neto Alcides Lins
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Camacho, César and Neto Alcides Lins:
Geometric Theory of Foliations - gebunden oder broschiert

1984

ISBN: 9780817631390

ID: 53763

206 Seiten 23,6 x 15,7 x 2,3 cm, Gebundene Ausgabe guter Zustand, Papier materialbedingt etw. nachgedunkelt, mit Originalumschlag M94 Versand D: 6,00 EUR, [PU:Birkhäuser,]

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Geometric Theory of Foliations - Cesar Camacho
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Geometric Theory of Foliations - gebunden oder broschiert

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ID: 9780817631390

Geometric Theory of Foliations Geometric-Theory-of-Foliations~~Cesar-Camacho Science/Tech>Mathematics>Mathematics Hardcover, Birkhauser Verlag

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

1984, ISBN: 9780817631390

ID: 3981179

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Details zum Buch
Geometry Theory of Foliations
Autor:

Camacho, César; Lins Neto, Alcides

Titel:

Geometry Theory of Foliations

ISBN-Nummer:

0817631399

Detailangaben zum Buch - Geometry Theory of Foliations


EAN (ISBN-13): 9780817631390
ISBN (ISBN-10): 0817631399
Gebundene Ausgabe
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH
220 Seiten
Gewicht: 0,497 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 29.06.2007 15:06:28
Buch zuletzt gefunden am 31.08.2016 13:09:18
ISBN/EAN: 0817631399

ISBN - alternative Schreibweisen:
0-8176-3139-9, 978-0-8176-3139-0

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