Abstract
We define generalized Clifford parallelisms in PG(3,F) with the help of a
quaternion skew field H over a field F of arbitrary characteristic. Moreover
we give a geometric description of such parallelisms involving hyperbolic
quadrics in projective spaces over suitable quadratic extensions of F.
| Original language | English |
|---|---|
| Pages (from-to) | 197-212 |
| Number of pages | 16 |
| Journal | INNOVATIONS IN INCIDENCE GEOMETRY |
| Publication status | Published - 2010 |
Keywords
- parallelism
- projective space
- quaternions
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