Weak measure expansive flows

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Lee, Keonhee¹  Oh, Jumi¹ 

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

关键词: Expansive;    Flows;    Measure expansive;    Weak measure expansive;    C-1-stably weak measure expansive;   

DOI  :  10.1016/j.jde.2015.09.017

来源: Elsevier

【 摘 要 】

A notion of measure expansivity for flows was introduced by Carrasco-Olivera and Morales in [3] as a generalization of expansivity, and they proved that there were no measure expansive flows on closed surfaces. In this paper we introduce a concept of weak measure expansivity for flows which is really weaker than that of measure expansivity, and show that there is a weak measure expansive flow on a closed surface. Moreover we show that any C-1 stably weak measure expansive flow on a C-infinity closed manifold M is Omega-stable, and any C-1 stably measure expansive flow on M satisfies both Axiom A and the quasi-transversality condition. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free