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- W2963539525 abstract "We consider Anosov diffeomorphisms on $mathbb{T}^3$ such that the tangent bundle splits into three subbundles $E^s_f oplus E^{wu}_f oplus E^{su}_f.$ We show that if $f$ is $C^r, r geq 2,$ volume preserving, then $f$ is $C^1$ conjugated with its linear part $A$ if and only if the center foliation $mathcal{F}^{wu}_f$ is absolutely continuous and the equality $lambda^{wu}_f(x) = lambda^{wu}_A,$ between center Lyapunov exponents of $f$ and $A,$ holds for $m$ a.e. $x in mathbb{T}^3.$ We also conclude rigidity of derived from Anosov diffeomorphism, assuming an strong absolute continuity property (Uniform bounded density property) of strong stable and strong unstable foliations." @default.
- W2963539525 created "2019-07-30" @default.
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- W2963539525 date "2019-02-20" @default.
- W2963539525 modified "2023-09-24" @default.
- W2963539525 title "A note on rigidity of Anosov diffeomorphisms of the three torus" @default.
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- W2963539525 doi "https://doi.org/10.1090/proc/14422" @default.
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