Thurston elliptization conjecture

Thurston elliptization conjecture
FieldGeometric topology
Conjectured byWilliam Thurston
Conjectured in1980
First proof byGrigori Perelman
First proof in2006
Implied byGeometrization conjecture
Equivalent toPoincaré conjecture
Spherical space form conjecture

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.


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