On the Pesin set of expansive geodesic flows in manifolds with no conjugate points

Rafael O. Ruggiero; Vladimir Alfonso Rosas Meneses

doi:10.1007/s00574-003-0012-5

On the Pesin set of expansive geodesic flows in manifolds with no conjugate points

Rafael O. Ruggiero, Vladimir Alfonso Rosas Meneses

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

3 Citas (Scopus)

Resumen

In this paper, we show that the Pesin set of an expansive geodesic flow in compact manifold with no conjugate points and bounded asymptote coincides a.e with an open and dense set of the unit tangent bundle. We also show that the set of hyperbolic periodic orbits is dense in the unit tangent bundle.

Idioma original	Inglés
Páginas (desde-hasta)	263-274
Número de páginas	12
Publicación	Bulletin of the Brazilian Mathematical Society
Volumen	34
N.º	2
DOI	https://doi.org/10.1007/s00574-003-0012-5
Estado	Publicada - jul. 2003
Publicado de forma externa	Sí

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title = "On the Pesin set of expansive geodesic flows in manifolds with no conjugate points",

abstract = "In this paper, we show that the Pesin set of an expansive geodesic flow in compact manifold with no conjugate points and bounded asymptote coincides a.e with an open and dense set of the unit tangent bundle. We also show that the set of hyperbolic periodic orbits is dense in the unit tangent bundle.",

keywords = "Bounded asymptote, Expansive geodesic flow, Pesin set",

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

year = "2003",

month = jul,

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T1 - On the Pesin set of expansive geodesic flows in manifolds with no conjugate points

AU - Ruggiero, Rafael O.

AU - Rosas Meneses, Vladimir Alfonso

PY - 2003/7

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N2 - In this paper, we show that the Pesin set of an expansive geodesic flow in compact manifold with no conjugate points and bounded asymptote coincides a.e with an open and dense set of the unit tangent bundle. We also show that the set of hyperbolic periodic orbits is dense in the unit tangent bundle.

AB - In this paper, we show that the Pesin set of an expansive geodesic flow in compact manifold with no conjugate points and bounded asymptote coincides a.e with an open and dense set of the unit tangent bundle. We also show that the set of hyperbolic periodic orbits is dense in the unit tangent bundle.

KW - Bounded asymptote

KW - Expansive geodesic flow

KW - Pesin set

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U2 - 10.1007/s00574-003-0012-5

DO - 10.1007/s00574-003-0012-5

M3 - Artículo

AN - SCOPUS:0141460837

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SP - 263

EP - 274

JO - Bulletin of the Brazilian Mathematical Society

JF - Bulletin of the Brazilian Mathematical Society

SN - 1678-7544

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ER -

On the Pesin set of expansive geodesic flows in manifolds with no conjugate points

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