论文标题

表征克利福德般的平行性中的克利福德平行性

Characterising Clifford parallelisms among Clifford-like parallelisms

论文作者

Havlicek, Hans, Pasotti, Stefano, Pianta, Silvia

论文摘要

我们回想起克利福德(Clifford)和克利福德(Clifford)般的平行性的概念,在$ 3 $维的投影双空间中。在上一篇论文中,作者证明了Clifford并行性的完整自动形态组的线性部分对于所有可以与之相关的Clifford样平行性都是相同的。相反,在本文中,我们研究了此类群体对平行类别的作用,从而实现了我们对克利福德(Clifford)类似的克利福德(Clifford)并行性表征的主要结果。

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.

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