- hyperbolic space
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Any space exhibiting hyperbolic geometry rather than Cartesian geometry
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hyperbolic space
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Hyperbolic space — In mathematics, hyperbolic n space, denoted H n , is the maximally symmetric, simply connected, n dimensional Riemannian manifold with constant sectional curvature −1. Hyperbolic space is the principal example of a space exhibiting hyperbolic… … Wikipedia
hyperbolic space — hiperbolinė erdvė statusas T sritis fizika atitikmenys: angl. hyperbolic space vok. hyperbolischer Raum, m rus. гиперболическое пространство, n pranc. espace hyperbolique, m … Fizikos terminų žodynas
Δ-hyperbolic space — In mathematics, a delta; hyperbolic space is a geodesic metric space in which every geodesic triangle is delta; thin .There are many equivalent definitions of delta; thin . A simple definition is as follows: pick three points and draw geodesic… … Wikipedia
δ-hyperbolic space — In mathematics, a δ hyperbolic space is a geodesic metric space in which every geodesic triangle is δ thin. There are many equivalent definitions of δ thin . A simple definition is as follows: pick three points and draw geodesic lines between… … Wikipedia
Convex uniform honeycombs in hyperbolic space — The {5,3,4} honeycomb in 3D hyperbolic space, viewed in perspective In geometry, a convex uniform honeycomb is a tessellation of convex uniform polyhedron cells. In 3 dimensional hyperbolic space there are nine Coxeter group f … Wikipedia
Hyperbolic geometry — Lines through a given point P and asymptotic to line R. A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparall … Wikipedia
Hyperbolic group — In group theory, a hyperbolic group, also known as a word hyperbolic group, Gromov hyperbolic group, negatively curved group is a finitely generated group equipped with a word metric satisfying certain properties characteristic of hyperbolic… … Wikipedia
Hyperbolic quaternion — In mathematics, a hyperbolic quaternion is a mathematical concept first suggested by Alexander MacFarlane in 1891 in a speech to the American Association for the Advancement of Science. The idea was criticized for its failure to conform to… … Wikipedia
Hyperbolic tree — In Web development jargon and information visualization, a hyperbolic tree (often shortened as hypertree) defines a visualization method for a graph inspired by hyperbolic geometry.Displaying hierarchical data as a tree suffers from visual… … Wikipedia
Hyperbolic 3-manifold — A hyperbolic 3 manifold is a 3 manifold equipped with a complete Riemannian metric of constant sectional curvature 1. In other words, it is the quotient of three dimensional hyperbolic space by a subgroup of hyperbolic isometries acting freely… … Wikipedia
