Characterising hyperbolic hyperplanes of a non-singular quadric in $PG(4,q)$

S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson +1

Let $H$ be a non-empty set of hyperplanes in $PG(4,q)$, $q$ even, such that every point of $PG(4,q)$ lies in either $0$, $\frac{1}{2}{q}^3$ or $\frac{1}{2}(q^3+q^2)$ hyperplanes of $H$, and…