Abstract
Let S be a congruence of straight lines in an isotropic space of degree one. i.e. a three dimensional real affine space with the metric ds2=dx2+dy2. The purpose of this paper is to discuss ruled surfaces of the congruence S for which the parameter of distribution has a constant value δ (δ — surfaces). We study the curves of the middle surface and the focal surfaces (if there exist) of S which are base curves of δ — surfaces.Moreover we consider two congruences S and S′ which are “M-equivalent” and we investigate a correspondence between δ — surfaces of S and S′.
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