hyperbolic space


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hyperbolic space

[¦hī·pər¦bäl·ik ′spās]
(mathematics)
A space described by hyperbolic rather than cartesian coordinates.
References in periodicals archive ?
Details for background material on complex hyperbolic space will be found in [2].
While working to expose a coherent general theory of groups acting isometrically on infinite-dimensional hyperbolic space, Das, Simmons,and Urbanski realized that a more natural domain for their inquiries was the much larger setting of semigroups acting on Gromov hyperbolic metric spaces.
One may also ask for classifications of monocoronal tilings in other spaces of constant curvature, in particular in hyperbolic space.
Hyperbolic space is found in common settings as well, such as cactuses, succulents, fungi or seed pods, even leafy greens such as lettuce and kale.
Su: Hypersurfaces with constant scalar curvature in a hyperbolic space form, Balkan J.
These co-founders of non-Euclidean geometry proposed, independently of each other, a 2-body problem in hyperbolic space for which the attraction is proportional to the area of the sphere of radius equal to the hyperbolic distance between the bodies.
In particular Lopez [6] proved that the only minimal translation surfaces in hyperbolic space are totally geodesic planes.
Some topics discussed include singularities and self-similarities in gravitational collapse, horospherical geometry in the hyperbolic space, superconformal field theory and operator algebras, and quantum Birkhoff normal forms and semiclassical analysis.
I've read great articles on everything from hyperbolic space to the history of remote controls.
This program allows the user to "fly though" spaces such as three-dimensional spherical, Euclidean, and hyperbolic space filled with certain polyhedra, allowing the study of various properties of honeycombs.
Each vector group has its own orthogonal, hyperbolic space.