Quelques remarques sur les bouts de feuilles

Lamoureux, Claude

doi:10.5802/aif.656

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Foliation Dynamics In Codimension One1

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2009

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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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Section: Foliation Dynamics In Codimension Onementioning

confidence: 99%

Classifying foliations

Hurder¹

2009

Foliations, Geometry, and Topology

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Quelques remarques sur les bouts de feuilles

Cited by 1 publication

References 7 publications

Classifying foliations

Classifying foliations

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