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In [[mathematics]], a '''space form''' is a [[complete space|complete]] [[Riemannian manifold]] ''M'' of [[constant curvature|constant]] [[sectional curvature]] ''K''. The three most fundamental examples are [[Euclidean space|Euclidean ''n''-space]], the [[n-sphere|''n''-dimensional sphere]], and [[hyperbolic space]], although a space form need not be [[simply connected space|simply connected]].
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