TY  - BOOK
AU  - Lyubich,Mikhail
AU  - Milnor,John W.
AU  - Minsky,Yair N.
TI  - Laminations and Foliations in Dynamics, Geometry, and Topology
T2  - Contemporary Mathematics
SN  - 9780821878590
AV  - QA613.62 -- .L36 2001eb 
U1  - 514/.72 
PY  - 2001///
CY  - Providence
PB  - American Mathematical Society
KW  - Foliations (Mathematics) -- Congresses
KW  - Geometry, Differential -- Congresses
KW  - Electronic books
N1  - Intro -- 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 3-manifold -- Pleated surfaces in hyperbolic 3-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 Φ -- 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 μ -- 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 μ = 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 Curves -- 2. The Monodromy Group of a Leaf -- 3. Density and Ergodicity Theorems -- 4. Non-Trivial Minimal Sets -- References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112888
ER  -