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.
en
dc.language
English
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dc.language.iso
en
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dc.publisher
Birkhäuser bei Springer LINK
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dc.relation.ispartof
Journal of Geometry
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Blend of parallelisms
en
dc.subject
Clifford parallelism
en
dc.subject
projective double space
en
dc.subject
quaternion skew field
en
dc.title
Clifford-like parallelisms
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.rights.holder
2018 The Author(s)
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dc.type.category
Original Research Article
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tuw.container.volume
110
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.version
vor
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dcterms.isPartOf.title
Journal of Geometry
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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tuw.publisher.doi
10.1007/s00022-018-0456-9
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dc.date.onlinefirst
2018-11
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dc.identifier.articleid
2
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dc.identifier.eissn
1420-8997
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dc.identifier.libraryid
AC15504333
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-6695
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tuw.author.orcid
0000-0001-6847-1544
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dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
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true
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item.languageiso639-1
en
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item.fulltext
with Fulltext
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Open Access
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research article
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open
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http://purl.org/coar/resource_type/c_2df8fbb1
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Publications
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
-
crisitem.author.dept
DICATAM-Sez. Matematica, Università degli Studi di Brescia, via Branze, 43, 25123, Brescia, Italy
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crisitem.author.dept
Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, via Trieste, 17, 25121, Brescia, Italy