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On a generalized stereographic projection. (Zur verallgemeinerten stereographischen Projektion.) (German) Zbl 0841.51015

Authors’ abstract: “The paper presents a generalization of the stereographic projection on the unit sphere. This generalization is introduced as the composition of a net projection with a stereographic projection. Additionally, a line geometrical approach is outlined. We discuss the image of a linear complex of lines which contains the focal lines of the net. This image turns out to be a ‘generalized bundle of circles’. Finally we prove a conjecture of U. Fink on biquadratic rational parametric representations of quadric surfaces”.
Reviewer: E.Heil (Darmstadt)

MSC:

51N15 Projective analytic geometry
51M30 Line geometries and their generalizations
53A05 Surfaces in Euclidean and related spaces
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