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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… 
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Related topics

Related topics

3 relations
Bloch sphereDerivations of the Lorentz transformations

Broader (1)

Quantum mechanics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Orthogonal Gyroexpansion in Möbius Gyrovector Spaces
We investigate the Mobius gyrovector spaces which are open balls centered at the origin in a real Hilbert space with the Mobius… 
2016
2016
Bi-gyrogroup: The group-like structure induced by bi-decomposition of groups
The decomposition $\Gamma=BH$ of a group $\Gamma$ into a subset $B$ and a subgroup $H$ of $\Gamma$ induces, under general… 
2015
2015
A Note on the Proof of Theorem 13 in the Paper "Generalized Gyrovector Spaces and a Mazur-Ulam theorem"
We give a revision of the proof of a Mazur-Ulam theorem for generalized gyrovector spaces given in the paper "Generalized… 
2013
2013
Gyrogroups, the Grouplike Loops in the Service of Hyperbolic Geometry and Einstein's Special Theory of Relativity
In this era of an increased interest in loop theory, the Einstein velocity addition law has fresh resonance. One of the most… 
Highly Cited
2012
Highly Cited
2012
DEEP NEAR-INFRARED SPECTROSCOPY OF PASSIVELY EVOLVING GALAXIES AT z ≳ 1.4
We present the results of new near-IR spectroscopic observations of passive galaxies at z ≳ 1.4 in a concentration of BzK… 
Review
2011
Review
2011
THE SLOAN DIGITAL SKY SURVEY CO-ADD: CROSS-CORRELATION WEAK LENSING AND TOMOGRAPHY OF GALAXY CLUSTERS
The shapes of distant galaxies are sheared by intervening galaxy clusters. We examine this effect in Stripe 82, a 275 deg2 region… 
2005
2005
Society, Culture and Politics in Byzantium
Contents: Preface, Paul Magdalino. Language and Literacy: L' 'unilinguisme' officiel de Constantinople byzantine (VIIe-XIIe s… 
2004
2004
Active optics and the non-axisymmetric case: multimode deformable mirrors aspherized from vase and meniscus forms
  • G. Lemaitre
  • SPIE Astronomical Telescopes + Instrumentation
  • 2004
  • Corpus ID: 119708793
The realizations of non-axisymmetric aspherical surfaces is of rapid growing interest for the development of segmented ELTs and… 
2001
2001
From the Group SL(2, C) to Gyrogroups and Gyrovector Spaces and Hyperbolic Geometry
We show that the algebra of the group SL(2, C) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with… 
2001
2001
Growth Regulation of A 431 Cells
To explore bidirectional regulatory interactions between interferons and autocrine polypeptide factors, we examined the… 
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