Faserungen, die aus Reguli mit einem gemeinsamen Geradenpaar zusammengesetzt sind. (About spreads which are built up by reguli with two lines in common)
Using Plücker coordinates, the author explicitly describes slight deformations of an ordinary spread in \(P_ 3\mathbb{R}\) leading to 4- dimensional topological translation planes with 6-dimensional automorphism group [cf. \textit{D. Betten}, Math. Z. 128, 129-151 (1972; Zbl 0231.50011)]. For a fixed, sufficiently small \(\varepsilon > 0\), one of the Plücker coordinates has the form \(uv(1-\varepsilon \sin t\cdot \cos t)\cos t\), the others are given by similar expressions.
scientific article; zbMATH DE number 98736
scientific article