Anosov diffeomorphisms of products II. Aspherical manifolds
Dynamical Systems
2019-10-07 v2 Algebraic Topology
Differential Geometry
Group Theory
Geometric Topology
Abstract
We study aspherical manifolds that do not support Anosov diffeomorphisms. Weakening conditions of Gogolev and Lafont, we show that the product of an infranilmanifold with finitely many aspherical manifolds whose fundamental groups have trivial center and finite outer automorphism group does not support Anosov diffeomorphisms. In the course of our study, we obtain a result of independent group theoretic and topological interest on the stability of the Hopf property, namely, that the product of finitely many Hopfian groups with trivial center is Hopfian.
Keywords
Cite
@article{arxiv.1806.03447,
title = {Anosov diffeomorphisms of products II. Aspherical manifolds},
author = {Christoforos Neofytidis},
journal= {arXiv preprint arXiv:1806.03447},
year = {2019}
}
Comments
14 pages; v2: small changes; to appear in Journal of Pure and Applied Algebra