On the incidence structures of polar spaces and quadrics
نویسنده
چکیده
In 1969 Buekenhout characterized non-singular quadrics of finite-dimensional projective spaces as polar spaces spanning the whole space and containing every line of the projective space which they intersect in at least three points (see [2]). Using suitable synthetic properties of the pairs of non-collinear disjoint lines, in this paper I present a new characterization of polar spaces and a combinatorial characterization of non-singular quadrics of a projective space of arbitrary dimension. Moreover, the extension of the theorem of Buekenhout even to the infinitedimensional case is given.
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تاریخ انتشار 2002