Sufficient conditions for rescaling expansivity

We show that every k*-expansive vector field of a closed manifold is rescaling expansive. This improves the main result in [5]. The proof relies on the new notion of singular-expansive flow which will be studied.

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Publication Details

Journal
Annales de la faculté des sciences de Toulouse Mathématiques
Published
2024-09-23
DOI
https://doi.org/10.5802/afst.1777
Primary Topic
Mathematical Dynamics and Fractals
Type
article
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article

Sufficient conditions for rescaling expansivity

Arnoldo Rojas, Yinong Yang, Xiao Wen
Annales de la faculté des sciences de Toulouse Mathématiques
Mathematical Dynamics and Fractals
article

Sufficient conditions for rescaling expansivity

Arnoldo Rojas, Yinong Yang, Xiao Wen
article en

Abstract

We show that every k*-expansive vector field of a closed manifold is rescaling expansive. This improves the main result in [5]. The proof relies on the new notion of singular-expansive flow which will be studied.

Annales de la faculté des sciences de Toulouse MathématiquesVol. 33(2)
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Sufficient conditions for rescaling expansivity — Arnoldo Rojas, Yinong Yang, et al. · Annales de la faculté des sciences de Toulouse Mathématiques (2024) | TGRS Research Map | TGRS