Flats in 3-manifolds
Michael Kapovich (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Michael Kapovich (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.
Burillo, José, Taback, Jennifer (2002)
The New York Journal of Mathematics [electronic only]
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