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Representation of mappings of Euclidean 2-planes by congruences of straight lines in a quasi-elliptic 3-space. (Russian) Zbl 0601.53010
The congruence of elliptic straight lines in a quasi-elliptic 3-space \(S^ 1_ 3\) represents a special mapping \(\phi: E^+_ 2\to E^-_ 2\) of Euclidean 2-planes. The author derives five theorems about such mappings and the corresponding congruences.
Reviewer: J.Kateřiňák
MSC:
53A35 Non-Euclidean differential geometry
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