Camacho, César 1943
Overview
Works:  35 works in 88 publications in 5 languages and 653 library holdings 

Genres:  Conference papers and proceedings Interviews 
Roles:  Author, Editor, Contributor 
Classifications:  QA613.62, 514.72 
Publication Timeline
.
Most widely held works by
César Camacho
Geometric theory of foliations by
Csar Camacho(
Book
)
25 editions published between 1979 and 1985 in 4 languages and held by 387 WorldCat member libraries worldwide
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 twodimensional 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 twodimensional torus, while the other leaves are homeomorphic to twodimensional planes which accu mulate asymptotically on the compact leaf. Further, the foliation is C""
25 editions published between 1979 and 1985 in 4 languages and held by 387 WorldCat member libraries worldwide
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 twodimensional 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 twodimensional torus, while the other leaves are homeomorphic to twodimensional planes which accu mulate asymptotically on the compact leaf. Further, the foliation is C""
Complex analytic methods in dynamical systems : IMPA, January 1992(
Book
)
3 editions published in 1994 in English and held by 125 WorldCat member libraries worldwide
3 editions published in 1994 in English and held by 125 WorldCat member libraries worldwide
The topology of holomorphic flows with singularity. Extensions du groupe additif / par Lawrence Breen [u.a.] by
Csar Camacho(
Book
)
7 editions published in 1978 in English and held by 21 WorldCat member libraries worldwide
7 editions published in 1978 in English and held by 21 WorldCat member libraries worldwide
The topology of integrable differential forms near a singularity. Ergodic theory, semisimple lie groups and foliations by
manifolds of negative curvature / by Robert J. Zimmer [u.a.] by
Csar Camacho(
Book
)
6 editions published in 1982 in English and held by 16 WorldCat member libraries worldwide
6 editions published in 1982 in English and held by 16 WorldCat member libraries worldwide
Pontos singulares de equaçoes diferenciais analiticas by
Csar Camacho(
Book
)
5 editions published in 1987 in Portuguese and Undetermined and held by 14 WorldCat member libraries worldwide
Singularidades de curvas planas e Resolução. Singularidades de equações diferenciais analíticas e resolução. Topologia das singularidades irredutíveis. A selanó complexa. Existência de integrais primeiras. O teorema da separatriz
5 editions published in 1987 in Portuguese and Undetermined and held by 14 WorldCat member libraries worldwide
Singularidades de curvas planas e Resolução. Singularidades de equações diferenciais analíticas e resolução. Topologia das singularidades irredutíveis. A selanó complexa. Existência de integrais primeiras. O teorema da separatriz
Instantáneas políticas by
Csar Camacho(
Book
)
5 editions published in 2002 in Spanish and held by 7 WorldCat member libraries worldwide
5 editions published in 2002 in Spanish and held by 7 WorldCat member libraries worldwide
The topology of integrable differential forms near a singularity by
Csar Camacho(
)
1 edition published in 1982 in French and held by 6 WorldCat member libraries worldwide
1 edition published in 1982 in French and held by 6 WorldCat member libraries worldwide
Floración : versos by
Csar Camacho(
Book
)
2 editions published in 1937 in Spanish and held by 5 WorldCat member libraries worldwide
2 editions published in 1937 in Spanish and held by 5 WorldCat member libraries worldwide
Publications de René Thom : (écrits mathématiques). Un aperçu de l'oeuvre de Thom en topologie différentielle : (jusqu'en
1957)(
Book
)
1 edition published in 1988 in French and held by 5 WorldCat member libraries worldwide
1 edition published in 1988 in French and held by 5 WorldCat member libraries worldwide
Publications mathematiques de l'i.h.e.s by France) Institut des hautes tudes scientifiques (Paris(
Book
)
1 edition published in 1978 in French and held by 5 WorldCat member libraries worldwide
1 edition published in 1978 in French and held by 5 WorldCat member libraries worldwide
Tópicos de análises en una variable compleja by
Csar Camacho(
Book
)
4 editions published in 1998 in Spanish and English and held by 4 WorldCat member libraries worldwide
4 editions published in 1998 in Spanish and English and held by 4 WorldCat member libraries worldwide
Poesía peruana joven(
Book
)
2 editions published in 1974 in Spanish and held by 4 WorldCat member libraries worldwide
2 editions published in 1974 in Spanish and held by 4 WorldCat member libraries worldwide
Teoría geometrica das folheacoes by
Csar Camacho(
)
1 edition published in 1979 in Spanish and held by 3 WorldCat member libraries worldwide
1 edition published in 1979 in Spanish and held by 3 WorldCat member libraries worldwide
Neighborhoods of analytic varieties by
Csar Camacho(
Book
)
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
IMPA 50 anos(
Book
)
1 edition published in 2003 in Portuguese and held by 2 WorldCat member libraries worldwide
1 edition published in 2003 in Portuguese and held by 2 WorldCat member libraries worldwide
Introdução a teoria das folheações by
Csar Camacho(
Book
)
2 editions published in 1977 in Portuguese and held by 2 WorldCat member libraries worldwide
2 editions published in 1977 in Portuguese and held by 2 WorldCat member libraries worldwide
Seminário de superfícies de Riemann(
Book
)
2 editions published between 1982 and 1983 in Portuguese and held by 2 WorldCat member libraries worldwide
2 editions published between 1982 and 1983 in Portuguese and held by 2 WorldCat member libraries worldwide
Fibered embeddings of curves into surfaces by
Csar Camacho(
Book
)
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
Dicritical holomorphic flows on Stein manifolds by
Csar Camacho(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
On codimension one foliations with Morse singularities by
Csar Camacho(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
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Audience Level
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Associated Subjects
BrazilRio de Janeiro College teachers Differentiable dynamical systems Differential equations Foliations (Mathematics) Geometry Geometry, Differential Global analysis (Mathematics) Holomorphic functions Holomorphic mappings Instituto de Matemática Pura e Aplicada (Brazil) Iterative methods (Mathematics) Legislative bodies Manifolds (Mathematics) Mathematics MathematicsStudy and teaching (Higher) Mexico Ministerial responsibility Peruvian poetry Universities and collegesFaculty
Alternative Names
Camacho, C. 1943
Camacho, C. (Csar), 1943
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