EXPLOSION OF DIFFERENTIABILITY FOR EQUIVALENCIES BETWEEN ANOSOV FLOWS ON 3-MANIFOLDS

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Bessa, M (Author) Other; Dias, S (Author) Other; Alberto A. Pinto (Author) FCUP

Journal

Title: Proceedings of the American Mathematical Society

Vol. 144

Pages: 3757-3766

ISSN: 0002-9939

Publisher: American Mathematical Society

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00K-AVX

DOI: 10.1090/proc/12977

Abstract (EN): For Anosov flows obtained by suspensions of Anosov diffeomorphisms on surfaces, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the suspended 3-manifold. This result generalizes the similar ones of Sullivan and Ferreira-Pinto for 1-dimensional expanding dynamics and also a result of Ferreira-Pinto for 2-dimensional hyperbolic dynamics.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10