Title: Clifford-like parallelisms
Language: English
Authors: Havlicek, Hans  
Pasotti, Stefano 
Pianta, Silvia 
Category: Original Research Article
Issue Date: 2019
Havlicek, H., Pasotti, S., & Pianta, S. (2019). Clifford-like parallelisms. Journal of Geometry, 110, Article 2. https://doi.org/10.1007/s00022-018-0456-9
Journal: Journal of Geometry 
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.
Keywords: Blend of parallelisms; Clifford parallelism; projective double space; quaternion skew field
DOI: 10.1007/s00022-018-0456-9
Library ID: AC15504333
URN: urn:nbn:at:at-ubtuw:3-6695
Organisation: E104 - Institut für Diskrete Mathematik und Geometrie 
Publication Type: Article
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