%0 Journal Article
%T Homogeneous Weyl connections of non-positive curvature
%A Gabriela Tereszkiewicz
%A Maciej P. Wojtkowski
%J Mathematics
%D 2015
%I arXiv
%X We study homogenous Weyl connections with non-positive sectional curvatures. The Cartesian product $\mathbb S^1 \times M$ carries canonical families of Weyl connections with such a property, for any Riemmanian manifold $M$. We prove that if a homogenous Weyl connection on a manifold, modeled on a unimodular Lie group, is non-positive in a stronger sense (streched non-positive), then it must be locally of the product type.
%U http://arxiv.org/abs/1506.08176v1