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arXiv · 1304.5425

Connectedness of the set of central Lyapunov exponents

Abbas Fakhari
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Abstract

We show that there is a residual subset $\mathcal{R}$ of $Diff^1(M)$ such that for any $f\in\mathcal{R}$ and any partially hyperbolic homoclinic class $H(p,f)$ with one dimensional center direction, the set of central Lyapunov exponents associated with the ergodic with either full support or positive entropy is an interval.

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Abbas Fakhari. 2013-04-19. Connectedness of the set of central Lyapunov exponents. https://arxiv.org/abs/1304.5425

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