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… (More)
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
This chapter results from a change of parameter, changing the parameter P∈ℝn×m P ∈ ℝ n × m , studied in Chapter 4, into a new… (More)
Is this relevant?
2017
2017
We investigate the Mobius gyrovector spaces which are open balls centered at the origin in a real Hilbert space with the Mobius… (More)
Is this relevant?
2017
2017
Abstract In this study, we show that any finitely generated gyrovector subspace in the Mobius gyrovector space coincides with the… (More)
Is this relevant?
2017
2017
In this paper we exhibit examples of generalized gyrovector spaces (GGVs) of the sets of positive invertible elements in unital C… (More)
Is this relevant?
2015
2015
We give a revision of the proof of a Mazur-Ulam theorem for generalized gyrovector spaces given in the paper "Generalized… (More)
Is this relevant?
2008
2008
Abstract The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and… (More)
Is this relevant?
2008
2008
Hyperbolic vectors, called gyrovectors, share analogies with vectors in Euclidean geometry. It is emphasized that the Bloch… (More)
  • figure 2
Is this relevant?
2001
2001
In this chapter we introduce scalar multiplication ⊗E in the Einstein gyrogroup (Vc,⊕E), obtaining the Einstein gyrovector space… (More)
Is this relevant?
2001
2001
Employing gyrovector space isomorphism, we introduce in this chapter the Mobius Gyrovector Spaces. These are isomorphic to… (More)
Is this relevant?
2001
2001
Special relativity theory is commonly studied by considering a single geometrical model in terms of spacetime coordinate… (More)
Is this relevant?