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Foliations : geometry and dynamics - proceedings of the euroworkshop.
This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific,
2002.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- SURVEY ARTICLES ; Some results on secondary characteristic classes of transversely holomorphic foliations ; 1 Introduction ; 2 Examples ; 3 Definitions ; 4 Rigidity and residuality ; 5 Another relation between the Bott class and the Godbillon-Vey class ; References.
- LS-categories for foliated manifolds 1 Introduction ; 2 LS-category ; 3 Fibrewise category ; 4 Equivariant category ; 5 Foliated categories ; References ; Dynamics and the Godbillon-Vey class: a history and survey ; 1 A simple definition ; 2 Structure theory ; 3 Duminy's Theorem.
- 4 Ergodic theory 5 Geometric entropy ; 6 Exceptional minimal sets ; 7 Extensions of Godbillon-Vey ; 8 Tricks and treats ; 9 Open questions ; References ; Similarity and conformal geometry of foliations ; 1 Euclidean integral geometry for foliations.
- 2 Dimension-one foliations of homothety surfaces 3 The set of spheres ; 4 Codimension-one foliation of R³, S³ or H³ ; 5 Bilocal statements ; References ; Foliations and contact structures on 3-manifolds ; 0 Introduction to contact geometry ; 1 3D contact topology due to Bennequin.
- 2 Fillable contact structures and tightness 3 Contact structures and foliations: focused on the theory of confoliations ; 4 Anosov flows and bi-contact structures ; 5 Problems ; References ; Operator algebras and the index theorem on foliated manifolds ; Introduction.