Zygmund strong foliations in higher dimension

Autor:	Yong Fang, Patrick Foulon, Boris Hasselblatt
Rok vydání:	2010
Předmět:	Pure mathematics Mathematics::Dynamical Systems Algebra and Number Theory Rigidity (electromagnetism) Applied Mathematics Mathematical analysis Riemannian manifold Algebraic number Analysis Mathematics
Zdroj:	Journal of Modern Dynamics. 4:549-569
ISSN:	1930-532X
Popis:	For a compact Riemannian manifold M, k ≥ 2 and a uniformly quasiconformal transversely symplecticC k Anosov flow ϕ: R×M → M we de- fine the longitudinal KAM-cocycle and use it to prove a rigidity result: E u ⊕E s is Zygmund-regular, and higher regularity implies vanishing of the longitudi- nal KAM-cocycle, which in turn implies that E u ⊕E s is Lipschitz-continuous. Results proved elsewhere then imply that the flow is smoothly conjugate to an algebraic one.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fdeb5b837dfb5b782650655422a0ec53 https://doi.org/10.3934/jmd.2010.4.549 Zobrazit plný text záznamu