Smoothness of holonomies for codimension 1 hyperbolic dynamics

• Type: Article in International Scientific Journal
• Date: 2002

Authors

A. A. Pinto (Author) FCUP; D. A. Rand (Author) Other

Journal

Title: Bulletin of the London Mathematical Society

Vol. 34

Pages: 341-352

ISSN: 0024-6093

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 21 Citations

Scopus - 23 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-PDS

DOI: 10.1112/s0024609301008670

Resumo (PT): Hyperbolic invariant sets Λ of C^{1+γ} diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper. Under the assumption that the Λ has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C^{1+α} for some 0 < α < 1.

Abstract (EN): Hyperbolic invariant sets A of C1+gamma diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper, Under the assumption that the A has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C1+alpha for some 0 < alpha < 1.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12