Geodesic
Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space
Hanspeter Fischer1 ; David G. Wright2
1 Department of Mathematical Sciences Ball State University Muncie, IN 47306, U.S.A.
2 Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A.
Fundamenta Mathematicae, Tome 179 (2003) no. 3, pp. 267-282.

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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.
DOI : 10.4064/fm179-3-5
Keywords: hass rubinstein scott showed every closed aspherical irreducible manifold whose fundamental group contains fundamental group closed aspherical surface covered euclidean space theorem does generalize higher dimensions however provide geometric tools which variations theorem proved dimensions

Hanspeter Fischer 1 ; David G. Wright 2

1 Department of Mathematical Sciences Ball State University Muncie, IN 47306, U.S.A.
2 Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A. 
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 closed aspherical manifolds are covered by {Euclidean} space},
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 closed aspherical manifolds are covered by Euclidean space
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Hanspeter Fischer; David G. Wright. Group-theoretic conditions under which
 closed aspherical manifolds are covered by Euclidean space. Fundamenta Mathematicae, Tome 179 (2003) no. 3, pp. 267-282. doi : 10.4064/fm179-3-5. http://geodesic.mathdoc.fr/articles/10.4064/fm179-3-5/

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