hyperbolic space

(redirected from Hyperbolic 3-space)

hyperbolic space

[¦hī·pər¦bäl·ik ′spās]
(mathematics)
A space described by hyperbolic rather than cartesian coordinates.
References in periodicals archive ?
Then M has the holonomy representation: [Hol.sub.M] : [[pi].sub.1](M, *) [right arrow] [Isom.sup.+][H.sup.3], where [Isom.sup.+][H.sup.3] is the orientation preserving isometry group of hyperbolic 3-space [H.sup.3].
Finally, for [rho] < 0 we obtain the hyperbolic 3-space, [H.sup.3](r = 0), and the anti de Sitter 3-space, [H.sup.3.sub.1] (r = 1)
These bisectors are indeed necessary to determine the Dirichlet fundamental domain in hyperbolic 2-space [H.sup.2] and hyperbolic 3-space [H.sup.3] respectively.
On the growth rate of ideal Coxeter Yohei Komori and groups in hyperbolic 3-space Tomoshige YUKITA On a structure of random open books Tetsuya ITO and closed braids Above two, communicated by Kenji FUKAYA, M.J.A.
Takahashi, "Horospherical flat surfaces in hyperbolic 3-space," Journal of the Mathematical Society of Japan, vol.
In this paper we consider the growth rate of ideal Coxeter groups in hyperbolic 3-space; a Coxeter polytope P is called ideal if all vertices of P are located on the ideal boundary of hyperbolic space.
Kolpakov, The minimal growth rate of cocompact Coxeter groups in hyperbolic 3-space, Canad.
On the growth rate of ideal Coxeter groups in hyperbolic 3-space Yohei KOMORI and Tomoshige YUKITA On a structure of random open books and closed braids Tetsuya ITO Above two, communicated by Kenji FUKAYA, M.J.A.