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arXiv · 1912.01583

Anosov diffeomorphisms on Thurston geometric 4-manifolds

Christoforos Neofytidis
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Abstract

A long-standing conjecture asserts that any Anosov diffeomorphism of a closed manifold is finitely covered by a diffeomorphism which is topologically conjugate to a hyperbolic automorphism of a nilpotent manifold. In this paper, we show that any closed 4-manifold that carries a Thurston geometry and is not finitely covered by a product of two aspherical surfaces does not support (transitive) Anosov diffeomorphisms.

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Christoforos Neofytidis. 2019-12-03. Anosov diffeomorphisms on Thurston geometric 4-manifolds. https://doi.org/10.1007/s10711-020-00583-x

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