TY - JOUR
T1 - Characterising Clifford parallelisms among Clifford-like parallelisms
AU - Havlicek, H.
AU - Pasotti, Stefano
AU - Pianta, S.
PY - 2020
Y1 - 2020
N2 - We recall the notions of Clifford and Clifford-like parallelisms in a 3-dimensional projective double space. In a previous paper the authors proved that the linear part of the full automorphism group of a Clifford parallelism is the same for all Clifford-like parallelisms which can be associated to it. In this paper, instead, we study the action of such group on parallel classes thus achieving our main results on characterisation of the Clifford parallelisms among Clifford-like ones.
AB - We recall the notions of Clifford and Clifford-like parallelisms in a 3-dimensional projective double space. In a previous paper the authors proved that the linear part of the full automorphism group of a Clifford parallelism is the same for all Clifford-like parallelisms which can be associated to it. In this paper, instead, we study the action of such group on parallel classes thus achieving our main results on characterisation of the Clifford parallelisms among Clifford-like ones.
KW - Automorphism
KW - Clifford parallelism
KW - Clifford-like parallelism
KW - Kinematic algebra
KW - Projective double space
KW - Automorphism
KW - Clifford parallelism
KW - Clifford-like parallelism
KW - Kinematic algebra
KW - Projective double space
UR - https://publicatt.unicatt.it/handle/10807/167685
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85087506052&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85087506052&origin=inward
U2 - 10.1007/s13366-020-00509-4
DO - 10.1007/s13366-020-00509-4
M3 - Article
SN - 0138-4821
SP - 37
EP - 54
JO - Beitrage zur Algebra und Geometrie
JF - Beitrage zur Algebra und Geometrie
IS - 62(1)
ER -