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arXiv · 1506.08176

Homogeneous Weyl connections of non-positive curvature

Gabriela Tereszkiewicz·Maciej P. Wojtkowski
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Abstract

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.

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Gabriela Tereszkiewicz, Maciej P. Wojtkowski. 2015-06-26. Homogeneous Weyl connections of non-positive curvature. https://arxiv.org/abs/1506.08176

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