Abstract
According to K. Strubecker ([5]–[8]) a three dimensional real affine space with the metric ds2=dx2+dy2 is called a simply iso-tropic space J3(1). In J3(1) exist 41 types of bundles of linear line complexes. In this paper we study the bundles of type 1, 2-called cyclic bundle and 38-called Strubecker-bundle. For a cyclic bundle and a Strubecker-bundle we give only the fundamental theorem and one metric result, however for a cyclic bundle the metric theory is completely developed.
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