hyperbolic space


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hyperbolic space

[¦hī·pər¦bäl·ik ′spās]
(mathematics)
A space described by hyperbolic rather than cartesian coordinates.
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Goldman and colleagues consider moduli spaces of actions of discrete groups on hyperbolic space. Spaces of PSL(2,C)-representatives of fundamental groups of surfaces of negative Euler characteristic are natural objects upon which mapping class groups and related automorphism groups act, they say, and arise as deformation spaces of (possibly singular) locally homogeneous geometric structures on surfaces.
Automorphisms of Two-Generator Free Groups and Spaces of Isometric Action on the Hyperbolic Plane
Particularly interesting classes of real Finsler metric spaces are Hilbert's metric spaces, which are natural generalisations of Klein's model of real hyperbolic space, and Thompson's metric on cones.
Jordan Algebras, Finsler Geometry and Dynamics
In particular, in Section 3, we study some existence results in partially ordered hyperbolic space for this class of nonexpansive type mapping and some illustrative nontrivial examples have also been discussed.
Fixed Point Results for a Class of Monotone Nonexpansive Type Mappings in Hyperbolic Spaces
Details for background material on complex hyperbolic space will be found in [2].
Note on non-discrete complex hyperbolic triangle groups of type (n, n, [infinity]; k) II
In [1], Kohlenbach defined hyperbolic space in his paper titled "Some Logical Metatheorems with Applications in Functional Analysis, Transactions of the American Mathematical Society, Vol.
Continuous Dependence for Two Implicit Kirk-Type Algorithms in General Hyperbolic Spaces
Let X be a Euclidean space [R.sup.d] or a hyperbolic space [H.sup.d].
Symmetries of monocoronal tilings
Coral is an apt analogy, because Peled's core forms approximate hyperbolic space, a geometrical solution to maximise surface area within a limited volume.
Zemer Peled: Harsh Terrain
Su: Hypersurfaces with constant scalar curvature in a hyperbolic space form, Balkan J.
Curvature pinching for minimal submanifolds of a sphere
In this section, we give as a table different Smarandache curves on de Sitter space or on hyperbolic space for spacelike curves in Minkowski-space.
The Smarandache curves on [S.sup.2.sub.1] and its duality on [H.sup.2.sub.0]
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.
The non-existence of centre-of-mass and linear-momentum integrals in the curved N-body problem
In particular Lopez [6] proved that the only minimal translation surfaces in hyperbolic space are totally geodesic planes.
Minimal translation lightlike hypersurfaces of semi-euclidean spaces
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.
Noncommutativity and singularities

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