Holonomie et feuilles exceptionnelles

Lamoureux, Claude

doi:10.5802/aif.640

Cited by 5 publications

(3 citation statements)

References 2 publications

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“…Basic works on the foliation theory belong to the French mathematicians A. Haefliger [8], [9], G. Ehresman [5], [6], G.Reeb [45], [46], H. Rosenberg [48], [49],G. Lamoureux [21], [22],R. Langevin [23], [24].…”

Section: Topology Of Foliationsmentioning

confidence: 99%

Foliation Theory and it's applications

Narmanov,

Kaypnazarova

2012

Preprint

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Subject of present paper is the review of results of authors on foliation theory and applications of foliation theory in control systems. The paper consists of two parts. In the first part the results of authors on foliation theory are presented, in the second part the results on applications of foliation theory in the qualitative theory of control systems are given. In paper everywhere smoothness of a class C ∞ is considered.

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Section: Topology Of Foliationsmentioning

confidence: 99%

Foliation Theory and it's applications

Narmanov,

Kaypnazarova

2012

Preprint

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“…Notable advances included Hector's work on classification and examples, starting with his Thesis and subsequent developments of its themes [132,133,135,138]; Lamoureux's work on holonomy and "captured leaves" [200,201,202,203]; Moussu's study of foliations almost without holonomy [239,240]; Nishimori's study of the asymptotic properties and growth of leaves in foliations [245,246,247,248]; and Plante's study of the relation between growth of leaves and the fundamental groups of the ambient manifolds.…”

Section: Foliation Dynamics In Codimension Onementioning

confidence: 99%

Classifying foliations

Hurder¹

2009

Foliations, Geometry, and Topology

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Abstract. We give a survey of the approaches to classifying foliations, starting with the Haefliger classifying spaces and the various results and examples about the secondary classes of foliations. Various dynamical properties of foliations are introduced and discussed, including expansion rate, local entropy, and orbit growth rates. This leads to a decomposition of the foliated space into Borel or measurable components with these various dynamical types. The dynamical structure is compared with the classification via secondary classes.1991 Mathematics Subject Classification. Primary 22F05, 37C85, 57R20, 57R32, 58H05, 58H10; Secondary 37A35, 37A55, 37C35 .

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“…-D'après un lemme de [6], L(s) contient un ensemble saturé minimal E, non nécessai-rement compact. La démonstration du corollaire 1 convenablement modifiée montre que EUT ne peut être ni T, ni un ensemble de Cantor.…”

Section: L(s) = E(s)unclassified

Quelques remarques sur les bouts de feuilles

Lamoureux¹

1977

Annales De L’institut Fourier

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Holonomie et feuilles exceptionnelles

Cited by 5 publications

References 2 publications

Foliation Theory and it's applications

Foliation Theory and it's applications

Classifying foliations

Quelques remarques sur les bouts de feuilles

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