R-robustly measure expansive homoclinic classes are hyperbolic


Authors

Manseob Lee - Department of Mathematics, Mokwon University, Daejeon, 302-729, Korea


Abstract

Let \(f:M\to M\) be a diffeomorphism on a closed smooth \(n(n\geq 2)\)-dimensional manifold \(M\) and let \(p\) be a hyperbolic periodic point of \(f\). We show that if the homoclinic class \(H_f(p)\) is R-robustly measure expansive then it is hyperbolic.


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