Title : ( mu Expansive Measure for Flows )
Authors: Ali Reza Zamani Bahabadi ,
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Abstract
In this paper we show that if $X$ is in the $C^1$-interior of the set of $\mu$-measure expansive divergence free vector fields, then $X$ admits a dominated splitting. We also show that in dimension 3, the above result would be Anosov by considering $\delta$-$\mu$-measure expansivness.
Keywords
, Anosov, dominated splittings, free divergence vector field, measure expansive.
@article{paperid:1068263,
author = {Zamani Bahabadi, Ali Reza},
title = {mu Expansive Measure for Flows},
journal = {Topology Proceedings},
year = {2018},
volume = {52},
number = {1},
month = {April},
issn = {0146-4124},
pages = {341--345},
numpages = {4},
keywords = {Anosov; dominated splittings; free divergence vector field; measure expansive.},
}
%0 Journal Article
%T mu Expansive Measure for Flows
%A Zamani Bahabadi, Ali Reza
%J Topology Proceedings
%@ 0146-4124
%D 2018
