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・ Hypercompe obtecta
・ Hypercompe ochreator
・ Hypercompe ockendeni
・ Hypercompe ocularia
・ Hypercompe orbiculata
・ Hypercompe orsa
・ Hypercompe oslari
・ Hypercompe permaculata
・ Hypercompe perplexa
・ Hypercompe persephone
・ Hypercompe persola
・ Hypercompe pertestacea
・ Hypercompe peruvensis
・ Hypercompe praeclara
・ Hyperbolic law of cosines
Hyperbolic link
・ Hyperbolic manifold
・ Hyperbolic motion
・ Hyperbolic motion (relativity)
・ Hyperbolic navigation
・ Hyperbolic orthogonality
・ Hyperbolic partial differential equation
・ Hyperbolic plane (disambiguation)
・ Hyperbolic point
・ Hyperbolic quaternion
・ Hyperbolic secant distribution
・ Hyperbolic sector
・ Hyperbolic set
・ Hyperbolic space
・ Hyperbolic spiral


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Hyperbolic link : ウィキペディア英語版
Hyperbolic link

In mathematics, a hyperbolic link is a link in the 3-sphere with complement that has a complete Riemannian metric of constant negative curvature, i.e. has a hyperbolic geometry. A hyperbolic knot is a hyperbolic link with one component.
As a consequence of the work of William Thurston, it is known that every knot is precisely one of the following: hyperbolic, a torus knot, or a satellite knot. As a consequence, hyperbolic knots can be considered plentiful. A similar heuristic applies to hyperbolic links.
As a consequence of Thurston's hyperbolic Dehn surgery theorem, performing Dehn surgeries on a hyperbolic link enables one to obtain many more hyperbolic 3-manifolds.
==Examples==

*Borromean rings are hyperbolic.
*Every non-split, prime, alternating link that is not a torus link is hyperbolic by a result of William Menasco.
*4₁ knot
*5₂ knot
*6₁ knot
*6₂ knot
*6₃ knot
*7₄ knot
*10 161 knot
*12n242 knot

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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