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The structure of
closed non-positively curved Euclidean cone 3-manifolds
Kerry Nelson Jones |
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Vol. 163 (1994), No. 2, 297–313
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Abstract |
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A structure theorem is proven for closed Euclidean 3-dimensional cone manifolds with all cone angles greater than 2π and cone locus a link (no vertices) which allows one to deduce precisely when such a manifold is homotopically atoroidal, and to construct its characteristic submanifold (torus decomposition) when it is not. A by-product of this structure theorem is the result that any Seifert-fibered submanifold of such a manifold admits a fibration with fibers parallel to the cone locus. This structure theorem is applied to several examples arising as branched covers over universal links. |
Mathematical Subject Classification 2000
Primary: 57M99
Secondary: 53C21
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Milestones
Received: 27 April 1992
Revised: 25 November 1992
Published: 1 April 1994
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Authors |
| Kerry Nelson Jones | |
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