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

Autores/as

  • Alcides de Carvalho Junior IM-UFAL

DOI:

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

Palabras clave:

Negative sectional curvature, fundamental group

Resumen

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].




 

Biografía del autor/a

Alcides de Carvalho Junior, IM-UFAL

Citas

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Publicado

2023-05-29

Cómo citar

[1]
de Carvalho Junior, A. 2023. A remark on the fundamental group of a compact negatively curved manifold. Latin American Journal of Mathematics. 2, 01 (may 2023), 51–57. DOI:https://doi.org/10.14244/lajm.v2i01.24.

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