Results 31 to 40 of about 12,053 (292)

Relatively hyperbolic groups are C*-simple [PDF]

open access: yes, 2006
We characterize relatively hyperbolic groups whose reduced C*-algebra is simple as those, which have no non-trivial finite normal ...
Arzhantseva, G.   +5 more
core   +1 more source

The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry

open access: yesAl-Mustansiriyah Journal of Science, 2021
In this paper, we present two gyroarea formulas (Möbius-Bretschneider’s formula and Möbius-Cagnoli’s formula) for Möbius gyroquadrilaterals in the Poincaré disc model of hyperbolic geometry.
Gülcan Balakan, Oğuzhan Demirel
doaj   +1 more source

The spinor representation of constant mean curvature one surfaces in the Hyperbolic space [PDF]

open access: yes, 1970
We review and comment on some aspects of the spinor representation for constant mean curvature one surfaces in hyperbolic space developed by Bobenko-Pavlyukevich-Springborn in [1].
Nicolodi, Lorenzo   +4 more
core   +2 more sources

A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications

open access: yesJournal of Mathematics, 2014
We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyperbolic area and length formula of Euclidean disk and a circle represented by its Euclidean center and radius.
Hui Bao, Xingdi Chen
doaj   +1 more source

Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]

open access: yes, 2007
This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
core   +1 more source

Riemann Invariants and Rank-k Solutions of Hyperbolic Systems [PDF]

open access: yes, 2006
In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions.
Huard, Benoit, Grundland, A. Michel
core   +1 more source

Hyperbolic Geometry

open access: yes, 2020
This was the preliminary version of a textbook, at the stage of rough draft.
Parisa Hariri   +2 more
  +5 more sources

Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space

open access: yesJournal of Applied Mathematics, 2014
We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) groups in H3, which is called Minkowski model of hyperbolic space.
Mahmut Mak, Baki Karlığa
doaj   +1 more source

Teichmüller spaces and HR structures for hyperbolic surface dynamics [PDF]

open access: yes, 2002
We construct a Teichmüller space for the C^{1+}-conjugacy classes of hyperbolic dynamical systems on surfaces. After introducing the notion of an HR structure which associates an affine structure with each of the stable and unstable laminations, we show ...
D. A. RAND   +3 more
core   +1 more source

The geometry of the disk complex [PDF]

open access: yes, 2013
We give a distance estimate for the disk complex. We use the distance estimate to prove that the disk complex is Gromov hyperbolic. As another application of our techniques, we find an algorithm which computes the Hempel distance of a Heegaard splitting,
Schleimer, Saul, Masur, Howard
core   +1 more source

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