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

Alcides de Carvalho Junior

doi:10.14244/lajm.v2i01.24

Authors

Alcides de Carvalho Junior IM-UFAL

DOI:

https://doi.org/10.14244/lajm.v2i01.24

Keywords:

Negative sectional curvature, fundamental group

Abstract

In this expository article we review some results about the fundamental group of a compact negatively curved manifold. In particular, a theorem of Gusevskij, see [7], it states that the fundamental group of a compact negatively curved manifold does not belong to C, where C is the smallest class of groups that contains all amenable groups and is closed under free products and finite extensions. The class C is quite natural and was introduced for the first time in [8].

Author Biography

Alcides de Carvalho Junior, IM-UFAL

ORCID: 0000-0003-0034-2580

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