Laminations and Foliations in Dynamics, Geometry, and Topology.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lyubich, Mikhail
Otros Autores: Milnor, John W., Minsky, Yair N.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2001.
Colección:Contemporary Mathematics.
Temas:
Foliations (Mathematics) > Congresses.
Geometry, Differential > Congresses.
Feuilletages (Mathématiques) > Congrès.
Géométrie différentielle > Congrès.
Foliations (Mathematics)
Geometry, Differential
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Introduction
  • Geodesic laminations on surfaces
  • Part I. The dynamical viewpoint
  • Definitions and first properties
  • Examples of geodesic laminations
  • The topology of geodesic laminations
  • The higher dimensional case
  • A more explicit example
  • Local properties of geodesic laminations
  • Transverse structures
  • Part II. The topological viewpoint
  • The topology and piecewise linear structure of ML(S)
  • Change of metric
  • The length function
  • Tangent vectors to ML(S)
  • The derivative of the length function
  • ""Part III. The geometric viewpoint""""The convex core of a hyperbolic 3â€?manifold""; ""Pleated surfaces in hyperbolic 3â€?manifolds""; ""Variations of the geometry of convex cores""; ""Rotation angles, bending cocycles and Thurston's intersection form""; ""References""; ""Index""; ""Dicritical singularities of holomorphic vector fields""; ""Dynamics of P2 (Examples)""; ""1. Introduction""; ""2. Attractors""; ""2.1 Trapping region""; ""2.2 The map Î?""; ""2.3 Non-Algebraicity of A""; ""2.4 Subhyperbolicity of attractors""
  • ""3. When the compact set of points with bounded orbit is disjoint from the critical set""""3.1 J = P2""; ""3.2 Support of Î?""; ""4. Isolated repelling points""; ""4.1 Isolated repelling orbits""; ""4.2 The compact set K of points with bounded orbit""; ""5. Examples of endomorphisms such that Supp Î? = Julia set""; ""3 lectures on foliations and laminations on 3-manifolds""; ""Rational laminations of complex polynomials""; ""Actions of discrete groups on complex projective spaces""; ""Dynamics of singular holomorphic foliations on the complex projective plane""; ""Preface""; ""Introduction""
  • 1. Singular Holomorphic Foliations by Curves2. The Monodromy Group of a Leaf
  • 3. Density and Ergodicity Theorems
  • 4. Non-Trivial Minimal Sets
  • References

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