Here we propose a definition of regular parallelism in a linear space not necessarily embedded onto a projective space and we investigate its properties in the particular case of kinematic spaces. We prove that the kinematic parallelisms are always regular in that sense and we deduce some results on the group of translations acting transitively on the pointset.

Regular parallelisms in kinematic spaces

PASOTTI, Stefano
2010-01-01

Abstract

Here we propose a definition of regular parallelism in a linear space not necessarily embedded onto a projective space and we investigate its properties in the particular case of kinematic spaces. We prove that the kinematic parallelisms are always regular in that sense and we deduce some results on the group of translations acting transitively on the pointset.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/34928
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