Cohomology and subcohomology problems for expansive, non anosov geodesic flows

Artur O. Lopes; Vladimir Alfonso Rosas Meneses; Rafael O. Ruggiero

Cohomology and subcohomology problems for expansive, non anosov geodesic flows

Artur O. Lopes, Vladimir Alfonso Rosas Meneses, Rafael O. Ruggiero

Departamento Académico de Matemáticas

Resultado de la investigación: Contribución a una revista › Artículo › revisión exhaustiva

9 Citas (Scopus)

Resumen

We show that there are examples of expansive, non-Anosov geodesic flows of compact surfaces with non-positive curvature, where the Livsic Theorem holds in its classical (continuous, Hölder) version. We also show that such flows have continuous subaction functions associated to Hölder continuous observables.

Idioma original	Inglés
Páginas (desde-hasta)	403-422
Número de páginas	20
Publicación	Discrete and Continuous Dynamical Systems
Volumen	17
N.º	2
Estado	Publicada - feb. 2007

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title = "Cohomology and subcohomology problems for expansive, non anosov geodesic flows",

abstract = "We show that there are examples of expansive, non-Anosov geodesic flows of compact surfaces with non-positive curvature, where the Livsic Theorem holds in its classical (continuous, H{\"o}lder) version. We also show that such flows have continuous subaction functions associated to H{\"o}lder continuous observables.",

keywords = "Action functions, Cohomology of dynamical systems, Expansive geodesic flow, Livsic Theorem, Subaction functions",

author = "Lopes, {Artur O.} and {Rosas Meneses}, {Vladimir Alfonso} and Ruggiero, {Rafael O.}",

year = "2007",

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T1 - Cohomology and subcohomology problems for expansive, non anosov geodesic flows

AU - Lopes, Artur O.

AU - Rosas Meneses, Vladimir Alfonso

AU - Ruggiero, Rafael O.

PY - 2007/2

Y1 - 2007/2

N2 - We show that there are examples of expansive, non-Anosov geodesic flows of compact surfaces with non-positive curvature, where the Livsic Theorem holds in its classical (continuous, Hölder) version. We also show that such flows have continuous subaction functions associated to Hölder continuous observables.

AB - We show that there are examples of expansive, non-Anosov geodesic flows of compact surfaces with non-positive curvature, where the Livsic Theorem holds in its classical (continuous, Hölder) version. We also show that such flows have continuous subaction functions associated to Hölder continuous observables.

KW - Action functions

KW - Cohomology of dynamical systems

KW - Expansive geodesic flow

KW - Livsic Theorem

KW - Subaction functions

UR - http://www.scopus.com/inward/record.url?scp=33847733438&partnerID=8YFLogxK

M3 - Artículo

AN - SCOPUS:33847733438

VL - 17

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EP - 422

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - 2

ER -

Cohomology and subcohomology problems for expansive, non anosov geodesic flows

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