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arXiv · 1909.02594

A remark on the fundamental group of a compact negatively curved manifold

Alcides de Carvalho Júnior
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Abstract

In this short note we survey some results about the fundamental group of a compact negatively curved manifold. In particular, we review a theorem of Gusevskij, it states that the fundamental group of a compact negatively curved manifold does not belong to $\mathcal{C},$ where $\mathcal{C}$ is the smallest class of groups that contains all amenable groups and is closed under free products and finite extensions.

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Alcides de Carvalho Júnior. 2019-09-05. A remark on the fundamental group of a compact negatively curved manifold. https://arxiv.org/abs/1909.02594

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