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

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

3 Scopus citations

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.

Original language	English
Pages (from-to)	263-274
Number of pages	12
Journal	Bulletin of the Brazilian Mathematical Society
Volume	34
Issue number	2
DOIs	https://doi.org/10.1007/s00574-003-0012-5
State	Published - Jul 2003
Externally published	Yes

Keywords

Bounded asymptote
Expansive geodesic flow
Pesin set

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10.1007/s00574-003-0012-5

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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",

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AU - Rosas Meneses, Vladimir Alfonso

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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

SN - 1678-7544

VL - 34

SP - 263

EP - 274

JO - Bulletin of the Brazilian Mathematical Society

JF - Bulletin of the Brazilian Mathematical Society

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

Abstract

Keywords

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