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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
Wikipedia

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2019
Review
2019
• 2019
• Corpus ID: 119347546
We present the unWISE Catalog, containing the positions and fluxes of roughly two billion objects observed by the Wide-field… Expand
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
• 2014
• Corpus ID: 118202643
We extend well-known results in group theory to gyrogroups, especially the isomorphism theorems. We prove that an arbitrary… Expand
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
2012
2012
• 2012
• Corpus ID: 14826246
We investigate super-resolution methods for image reconstruction from data provided by a family of scanning instruments like the… Expand
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
• 2006
• Corpus ID: 118984437
We investigate the dynamics of a magnetic vortex driven by spin-transfer torque due to spin current in the adiabatic case. The… Expand
Highly Cited
2001
Highly Cited
2001
• 2001
• Corpus ID: 53130811
We have theoretically and numerically studied the dynamic properties of the vortex magnetic state in soft submicron ferromagnetic… Expand
Highly Cited
2001
Highly Cited
2001
• 2001
• Corpus ID: 15184691
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
• Journal of Lightwave Technology
• 2000
• Corpus ID: 13521902
We report a novel configuration of resonator microoptic gyro (MOG), which is monolithically integrated on silica planar lightwave… Expand