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No round wandering domains for $C^{1}$-diffeomorphisms of tori
Published online by Cambridge University Press: 10 April 2018
Abstract
We prove that if $n\geq 2$, then there is no $C^{1}$-diffeomorphism $f$ of the $n$-torus such that $f$ is semi-conjugate to a minimal translation and its wandering domains are geometric balls. This improves a recent result of Navas, who proved it assuming $C^{n+1}$ regularity of $f$.
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- © Cambridge University Press, 2018
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