Clifford-like parallelisms

Silvia Pianta, Hans Havlicek, Stefano Pasotti

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

3 Citazioni (Scopus)

Abstract

Given two parallelisms of a projective space we describe a construction, called blending, that yields a (possibly new) parallelism of this space. For a projective double space (P, ‖ ℓ, ‖ r) over a quaternion skew field we characterise the “Clifford-like” parallelisms, i.e. the blends of the Clifford parallelisms ‖ ℓ and ‖ r, in a geometric and an algebraic way. Finally, we establish necessary and sufficient conditions for the existence of Clifford-like parallelisms that are not Clifford.
Lingua originaleEnglish
pagine (da-a)1-18
Numero di pagine18
RivistaJournal of Geometry
Volume110
DOI
Stato di pubblicazionePubblicato - 2019

Keywords

  • Blend of parallelisms
  • Clifford parallelism
  • projective double space
  • quaternion skew field

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