The geometry of secants in embedded polar spaces (Q881814)

In this study the author considers a polar space \(\mathcal S\) weakly embedded in a projective space \(\mathbb P\). A secant of \(\mathcal S\) is the intersection of the point set of \(\mathcal S\) with a line of \(\mathbb P\) spanned by two non-collinear points of \(\mathcal S\). The geometry consisting of the points of \(\mathcal S\) and as lines the secants is so-called Delta space. The author gives a characterization of this and some related geometries.