Hyperbolic link
In mathematics, a hyperbolic link is a link in the 3-sphere with a complement that has a Riemannian metric of constant negative curvature, i.e. has a hyperbolic geometry. A hyperbolic knot refers to a hyperbolic link with one component. It is known that every knot is precisely one of the following: hyperbolic, torus knot, satellite knot. As a consequence, hyperbolic knots can be considered plentiful. A similar heuristic applies to hyperbolic links. By performing Dehn surgery on a hyperbolic link, one can obtain many more hyperbolic 3-manifolds.
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