| Abstrakt: |
In this paper we introduce and analyze the notion of self-dual k-sets of type (m, n). We show that in a non-square order projective space such sets exist only if the dimension is odd. We prove that, in a projective space of odd dimension r = 2s +1 (s ≥ 1) and order q, self-dual k-sets of type (m, n), with k ∈ {V2s − qs, V2s + qs}, are of elliptic and hyperbolic type, respectively. As a corollary we obtain a new characterization of the non-singular elliptic and hyperbolic quadrics. [ABSTRACT FROM AUTHOR] |
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