Teichmuller spaces and HR structures for hyperbolic surface dynamics

• Tipo: Artigo em Revista Científica Internacional
• Data: 2002

Autores

Pinto, AA (Autor) FCUP; Rand, DA (Autor) Outra

Revista

Título: Ergodic Theory and Dynamical Systems

Vol. 22

Páginas: 1905-1931

ISSN: 0143-3857

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 11 Citações

Scopus - 13 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-M63

DOI: 10.1017/s0143385702000792

Abstract (EN): We construct a Teichmuller space for the C1+-conjugacy classes of hyperbolic dynamical systems on surfaces. After introducing the notion of an HR structure which associates an affine structure with each of the stable and unstable laminations, we show that there is a one-to-one correspondence between these HR structures and the C1+-conjugacy classes. As part of the proof we construct a canonical representative dynamical system for each HR structure. This has the smoothest holonomies of any representative of the corresponding C1+-conjugacy class. Finally, we introduce solenoid functions and show that they provide a good Teichmuller space.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 27