Turkish Journal of Mathematics
DOI
10.3906/mat-1703-55
Abstract
We determine hyperplanes in Veronese spaces associated with projective spaces and polar spaces, and we analyze the geometry of parallelisms induced by these hyperplanes. We also discuss whether or not parallelisms on Veronese spaces associated with affine spaces can be imposed.
Keywords
Veronese space, projective space, affine space, polar space, partial linear space, affine partial linear space, hyperplane, correlation
First Page
1221
Last Page
1235
Recommended Citation
PETELCZYC, KRZYSZTOF; PRAZMOWSKI, KRZYSZTOF; PRAZMOWSKA, MALGORZATA; and ZYNEL, MARIUSZ
(2018)
"Hyperplanes, parallelism, and related problems in Veronese spaces,"
Turkish Journal of Mathematics: Vol. 42:
No.
3, Article 37.
https://doi.org/10.3906/mat-1703-55
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss3/37
