Anosov diffeomorphisms on Thurston geometric 4-manifolds

Autor:	Neofytidis, Christoforos
Rok vydání:	2019
Předmět:	Mathematics - Dynamical Systems Mathematics - Algebraic Topology Mathematics - Group Theory Mathematics - Geometric Topology
Zdroj:	Geom. Dedicata 213 (2021), 325--337
Druh dokumentu:	Working Paper
DOI:	10.1007/s10711-020-00583-x
Popis:	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. Comment: 13 pages; v2: final version, to appear in Geometriae Dedicata
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1912.01583 Zobrazit plný text záznamu View this record from Arxiv