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Hyperbolic conformality in multidimensional hyperbolic spaces
Mathematical Methods in the Applied Sciences, 2020In a previous work, the hyperbolic conformality for bicomplex functions was introduced, and it was proved that, with the adequate hypothesis, a bicomplex holomorphic function is hyperbolic conformal. The aim of this paper is to extend this idea to , with the set of hyperbolic numbers.
A. Golberg, M. E. Luna‐Elizarrarás
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Hyperbolically Sasakian and equidistant hyperbolically Kahlerian spaces
Journal of Soviet Mathematics, 1992See the review in Zbl 0711.53042.
Mikeš, Josef, Starko, G. A.
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Proceedings of the 1992 symposium on Interactive 3D graphics - SI3D '92, 1992
Computer graphics opens windows onto previously unseen mathematical worlds. This has been firmly established in the study of chaotic dynamical systems, where significant mathematical discoveries can be directly traced to the advent of visual display of computation.
Mark Phillips, Charlie Gunn
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Computer graphics opens windows onto previously unseen mathematical worlds. This has been firmly established in the study of chaotic dynamical systems, where significant mathematical discoveries can be directly traced to the advent of visual display of computation.
Mark Phillips, Charlie Gunn
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Advances in Applied Clifford Algebras, 2000
Let \(H\) be the hyperbolic complex plane and let \(\Xi\) be the divisors of zero region. An addition sub-semi-group \(S\) of \(H\) is called hyperbolic semi-linear space if \(o\in S\) and there exists an operation of multiplication by non-negative real numbers having the following properties: 1. \((ab)X = a(bX)\) 2. \((a+b)X = aX + bX\); 3. \(a(X+Y) =
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Let \(H\) be the hyperbolic complex plane and let \(\Xi\) be the divisors of zero region. An addition sub-semi-group \(S\) of \(H\) is called hyperbolic semi-linear space if \(o\in S\) and there exists an operation of multiplication by non-negative real numbers having the following properties: 1. \((ab)X = a(bX)\) 2. \((a+b)X = aX + bX\); 3. \(a(X+Y) =
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Busemann Spaces and Hyperbolic Spaces
2014A 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
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Bethe lattices in hyperbolic space
Physical Review E, 1993A 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, 1993AbstractThe 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 ...
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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