On algebraic endomorphisms of the Einstein gyrogrou

L. Molnár, Daniél Virosztek

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We describe the structure of all continuous algebraic endomorphisms of the open unit ball B of R3 equipped with the Einstein velocity addition. We show that any nonzero such transformation originates from an orthogonal linear transformation on R3.

Original languageEnglish
Article number82302
JournalJournal of Mathematical Physics
Volume56
Issue number8
DOIs
Publication statusPublished - 2015

Fingerprint

linear transformations
Endomorphisms
Linear transformation
Unit ball
Albert Einstein
balls

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

On algebraic endomorphisms of the Einstein gyrogrou. / Molnár, L.; Virosztek, Daniél.

In: Journal of Mathematical Physics, Vol. 56, No. 8, 82302, 2015.

Research output: Contribution to journalArticle

@article{a048599209fa418a92082ea0e2ac6529,
title = "On algebraic endomorphisms of the Einstein gyrogrou",
abstract = "We describe the structure of all continuous algebraic endomorphisms of the open unit ball B of R3 equipped with the Einstein velocity addition. We show that any nonzero such transformation originates from an orthogonal linear transformation on R3.",
author = "L. Moln{\'a}r and Dani{\'e}l Virosztek",
year = "2015",
doi = "10.1063/1.4927753",
language = "English",
volume = "56",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "8",

}

TY - JOUR

T1 - On algebraic endomorphisms of the Einstein gyrogrou

AU - Molnár, L.

AU - Virosztek, Daniél

PY - 2015

Y1 - 2015

N2 - We describe the structure of all continuous algebraic endomorphisms of the open unit ball B of R3 equipped with the Einstein velocity addition. We show that any nonzero such transformation originates from an orthogonal linear transformation on R3.

AB - We describe the structure of all continuous algebraic endomorphisms of the open unit ball B of R3 equipped with the Einstein velocity addition. We show that any nonzero such transformation originates from an orthogonal linear transformation on R3.

UR - http://www.scopus.com/inward/record.url?scp=84938789163&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84938789163&partnerID=8YFLogxK

U2 - 10.1063/1.4927753

DO - 10.1063/1.4927753

M3 - Article

VL - 56

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 8

M1 - 82302

ER -