On algebraic endomorphisms of the Einstein gyrogroup

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  • Lajos Molnár
    University of Debrecen 1 MTA-DE “Lendület” Functional Analysis Research Group, Institute of Mathematics, , P.O. Box 12, H-4010 Debrecen, Hungary
  • Dániel Virosztek
    Budapest University of Technology and Economics 2 Institute of Mathematics, , H-1521 Budapest, Hungary

書誌事項

公開日
2015-08-01
DOI
  • 10.1063/1.4927753
公開者
AIP Publishing

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<jats:p>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.</jats:p>

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