Lineare Komplexbündel im einfach isotropen Raum

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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Herrn o. Prof. Dr. K. Strubecker zum 80. Geburtstag gewidmet