Results 231 to 240 of about 16,187 (262)
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ON THE UMBILICITY OF HYPERSURFACES IN THE HYPERBOLIC SPACE

Journal of the Australian Mathematical Society, 2016
In this paper, we establish new characterization results concerning totally umbilical hypersurfaces of the hyperbolic space$\mathbb{H}^{n+1}$, under suitable constraints on the behavior of the Lorentzian Gauss map of complete hypersurfaces having some constant higher order mean curvature.
Aquino, C. P.   +2 more
openaire   +1 more source

Busemann Spaces and Hyperbolic Spaces

2014
A Busemann space (also known as a Busemann convex space) is a geodesic metric space X such that for any two geodesics \(\gamma: \left [a,b\right ] \rightarrow X\) and \(\gamma ^{{\prime}}: \left [a^{{\prime}},b^{{\prime}}\right ] \rightarrow X,\) the map \(D_{\gamma,\gamma ^{{\prime}}}: \left [a,b\right ] \times \left [a^{{\prime}},b^{{\prime}}\right ]
William Kirk, Naseer Shahzad
openaire   +1 more source

The Problem of Plateau in Hyperbolic Space

American Journal of Mathematics, 1942
Not ...
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Bethe lattices in hyperbolic space

Physical Review E, 1993
A recently suggested geometrical embedding of Bethe-type lattices (branched polymers) in the hyperbolic plane [R. Mosseri and J. F. Sadoc, J. Phys. Lett. 43, L249 (1982); J. A. de Miranda-Neto and F. Moraes, J. Phys. I. France 2, 1657 (1992)] is shown to be only a special case of a whole continuum of possible realizations that preserve some of the ...
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Harmonic Spinors on Hyperbolic Space

Canadian Mathematical Bulletin, 1993
AbstractThe purpose for this short note is to describe the space of harmonic spinors on hyperbolicn-spaceHn. This is a natural continuation of the study of harmonic functions onHnin [Minemura] and [Helgason]—these results were generalized in the form of Helgason's conjecture, proved in [KKMOOT],—and of [Gaillard 1, 2], where harmonic forms onHnwere ...
openaire   +1 more source

Hyperbolic Hilbert space

Advances in Applied Clifford Algebras, 2000
Yu Xuegang, Xuegang Yu
exaly  

The moduli space of the modular group in complex hyperbolic geometry

Inventiones Mathematicae, 2003
John Parker   +2 more
exaly  

Hyperbolic Space

1992
Riccardo Benedetti, Carlo Petronio
openaire   +1 more source

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