Smooth zero-entropy diffeomorphisms with ergodic derivative extension

  • Philipp Kunde

    Universität Hamburg, Germany
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Abstract

On any smooth compact and connected manifold of dimension 2 admitting a smooth non-trivial circle action we construct -diffeomorphisms of topological entropy zero whose differential is ergodic with respect to a smooth measure in the projectivization of the tangent bundle. The proof is based on a version of the “approximation-by-conjugation”-method.

Cite this article

Philipp Kunde, Smooth zero-entropy diffeomorphisms with ergodic derivative extension. Comment. Math. Helv. 95 (2020), no. 1, pp. 1–25

DOI 10.4171/CMH/478