Thurston elliptization conjecture
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William Thurston's elliptization conjecture states that a closed 3-manifold with finite fundamental group is spherical, i.e. has a Riemannian metric of constant positive sectional curvature.
Quick Facts Field, Conjectured by ...
Field | Geometric topology |
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Conjectured by | William Thurston |
Conjectured in | 1980 |
First proof by | Grigori Perelman |
First proof in | 2006 |
Implied by | Geometrization conjecture |
Equivalent to | Poincaré conjecture Spherical space form conjecture |
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