A Hyperbolic Characterization of Projective Klingenberg Planes

In this paper, the notion of Hyperbolic Klingenberg plane is introduced via a set of axioms like as Affine Klingenberg planes and Projective Klingenberg planes. Models of such planes are constructed by deleting a certain number m of equivalence classes of lines from a Projective Klingenberg plane. In the finite case, an upper bound for m is established and some combinatoric properties are investigated.

Authors:

• Basri Çelik

Keywords:

• Hyperbolic planes
• Klingenberg planes
• Projective planes.

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