Partitions of Three-Dimensional Pappian Projective Spaces by Ovoidal Quadrics |
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| Authors: | Günter Heimbeck |
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| Institution: | (1) Department of Pure and Applied Mathematics, University of Namibia, Private Bag, 13301, Windhoek, Namibia |
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| Abstract: | In his article Partitioning Projective Geometries Into Caps, Ebert showed inter alia that every finite three-dimensional projective space can be partitioned by ovoidal quadrics. The aim of the present note is to generalize this result by identifying a more comprehensive class of three-dimensional projective spaces which admit partitions of this kind. In addition, the group of all collineations which preserve such a partition is determined. |
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| Keywords: | Projective geometry ovoidal quadric pencil of quadratic forms |
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