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Gyrovector space

Known as: Gyro-group, Gyro-vector, Gyroassociative 
A gyrovector space is a mathematical concept proposed by Abraham A. Ungar for studying hyperbolic geometry in analogy to the way vector spaces are… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2019
Review
2019
We present the unWISE Catalog, containing the positions and fluxes of roughly two billion objects observed by the Wide-field… Expand
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2015
2015
The Lorentz transformation group $SO(m,n)$ is a group of Lorentz transformations of order $(m,n)$, that is, a group of special… Expand
2014
2014
We extend well-known results in group theory to gyrogroups, especially the isomorphism theorems. We prove that an arbitrary… Expand
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Highly Cited
2012
Highly Cited
2012
We present the results of new near-IR spectroscopic observations of passive galaxies at z ≳ 1.4 in a concentration of BzK… Expand
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2012
2012
We investigate super-resolution methods for image reconstruction from data provided by a family of scanning instruments like the… Expand
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Highly Cited
2009
Highly Cited
2009
  • A. Ungar
  • A Gyrovector Space Approach to Hyperbolic…
  • 2009
  • Corpus ID: 8827093
The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics… Expand
Highly Cited
2006
Highly Cited
2006
We investigate the dynamics of a magnetic vortex driven by spin-transfer torque due to spin current in the adiabatic case. The… Expand
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Highly Cited
2001
Highly Cited
2001
We have theoretically and numerically studied the dynamic properties of the vortex magnetic state in soft submicron ferromagnetic… Expand
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Highly Cited
2001
Highly Cited
2001
Under some weak hyperbolicity conditions, we establish C^0 - and C^\infty -local rigidity theorems for two classes of standard… Expand
Highly Cited
2000
Highly Cited
2000
We report a novel configuration of resonator microoptic gyro (MOG), which is monolithically integrated on silica planar lightwave… Expand
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