# Gyrovector space

## Papers overview

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2018

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)

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2017

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)

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2017

2017

- 2017

Abstract In this study, we show that any finitely generated gyrovector subspace in the Mobius gyrovector space coincides with the… (More)

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2017

2017

- 2017

In this paper we exhibit examples of generalized gyrovector spaces (GGVs) of the sets of positive invertible elements in unital C… (More)

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2015

2015

- 2015

We give a revision of the proof of a Mazur-Ulam theorem for generalized gyrovector spaces given in the paper "Generalized… (More)

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2008

2008

- A Gyrovector Space Approach to Hyperbolic…
- 2008

Abstract The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and… (More)

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2008

2008

- 2008

Hyperbolic vectors, called gyrovectors, share analogies with vectors in Euclidean geometry. It is emphasized that the Bloch… (More)

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2001

2001

- 2001

In this chapter we introduce scalar multiplication ⊗E in the Einstein gyrogroup (Vc,⊕E), obtaining the Einstein gyrovector space… (More)

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2001

2001

- 2001

Employing gyrovector space isomorphism, we introduce in this chapter the Mobius Gyrovector Spaces. These are isomorphic to… (More)

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2001

2001

- 2001

Special relativity theory is commonly studied by considering a single geometrical model in terms of spacetime coordinate… (More)

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