In this article, a combinatorial characterization of the family of parabolic hyperplanes of a hyperbolic (respectively, elliptic) quadric of PG(2n + 1, q), using their intersection properties with the points and subspaces of codimension 2, is given.
@article{arxiv.2209.02657,
title = {Characterizing parabolic hyperplanes of the hyperbolic and elliptic quadrics in PG(2n + 1, q)},
author = {Bikramaditya Sahu},
journal= {arXiv preprint arXiv:2209.02657},
year = {2022}
}