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Sub-actions for Anosov flows
dc.contributor.author | Lopes, Artur Oscar | pt_BR |
dc.contributor.author | Thieullen, Ph. | pt_BR |
dc.date.accessioned | 2011-01-15T05:58:59Z | pt_BR |
dc.date.issued | 2005 | pt_BR |
dc.identifier.issn | 0143-3857 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/27434 | pt_BR |
dc.description.abstract | Let (M, {Øt }) be a smooth (not necessarily transitive) Anosov flow without fixed points generated by a vector field X(x) = (d/dt)|t=0Øt (x) on a compact manifold M. Let A : M → R be a globally Holder function defined on M. Assume that ∫0T 0 A ◦ Øt (x) dt ≥ 0 for any periodic orbit {Øt (x)}t=T t=0 of period T . Then there exists a H¨older function V : M →R, called a sub-action, smooth in the flow direction, such that A(x) ≥ LXV (x), for all x є M (where LXV = (d/dt)|t=0 V ◦Øt(x) denotes the Lie derivative of V ). If A is Cr then LXV is Cr on any local center-stable manifold. | en |
dc.format.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | Ergodic theory and dynamical systems. Cambridge. Vol. 25, no. 2 (Apr. 2005), p. 605-628. | pt_BR |
dc.rights | Open Access | en |
dc.subject | Fluxos de anosov | pt_BR |
dc.title | Sub-actions for Anosov flows | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 000453740 | pt_BR |
dc.type.origin | Estrangeiro | pt_BR |
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