%0 Journal Article
%T Connectedness of the set of central Lyapunov exponents
%A Abbas Fakhari
%J Mathematics
%D 2013
%I arXiv
%X In this brief note we prove that there is a residual subset $\mathcal{R}$ of $\textrm{Diff}^1(M)$ 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 to the ergodic with full support is an interval. Also, some remarks on the general case presented.
%U http://arxiv.org/abs/1304.5425v1