Hyperplanes, parallelism, and related problems in Veronese spaces

Authors

KRZYSZTOF PETELCZYC
KRZYSZTOF PRAZMOWSKI
MALGORZATA PRAZMOWSKA
MARIUSZ ZYNEL

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