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

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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, Hölder) version. We also show that such flows have continuous subaction functions associated to Hölder continuous observables.

Original language	English
Pages (from-to)	403-422
Number of pages	20
Journal	Discrete and Continuous Dynamical Systems
Volume	17
Issue number	2
State	Published - Feb 2007

Keywords

Action functions
Cohomology of dynamical systems
Expansive geodesic flow
Livsic Theorem
Subaction functions

Cite this

@article{49b3c99df98945f9a08b30d04ef2ef38,

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",

month = feb,

language = "Ingl{\'e}s",

volume = "17",

pages = "403--422",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "2",

}

TY - JOUR

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

SP - 403

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

Abstract

Keywords

Other files and links

Fingerprint

Cite this