universal covering manifold

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• Covering space — A covering map satisfies the local triviality condition. Intuitively, such maps locally project a stack of pancakes above an open region, U, onto U. In mathematics, more specifically algebraic topology, a covering map is a continuous surjective… …   Wikipedia

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• Novikov's compact leaf theorem — In mathematics, Novikov s compact leaf theorem, named after Sergei Novikov, states that A codimension one foliation of a compact 3 manifold whose universal covering space is not contractible must have a compact leaf. Novikov s compact leaf… …   Wikipedia

• SL2(R) — In mathematics, the special linear group SL2(R) is the group of all real 2 times; 2 matrices with determinant one:: mbox{SL} 2(mathbb{R}) = left{ egin{bmatrix}a b c dend{bmatrix} : a,b,c,dinmathbb{R}mbox{ and }ad bc=1 ight}.It is a real Lie… …   Wikipedia

• Uniformization theorem — In mathematics, the uniformization theorem for surfaces says that any surface admits a Riemannian metric of constant Gaussian curvature. In fact, one can find a metric with constant Gaussian curvature in any given conformal class.In other words… …   Wikipedia