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Lineare Komplexbündel im einfach isotropen Raum

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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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Authors and Affiliations

  1. Institut für Math. u. Angew. Geom., Montanuniversität Leoben, Franz-Josef-Straße 18, A-8700, Leoben

    Hans Sachs

Authors
  1. Hans Sachs
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Additional information

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

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Sachs, H. Lineare Komplexbündel im einfach isotropen Raum. J Geom 23, 184–200 (1984). https://doi.org/10.1007/BF01222656

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  • DOI: https://doi.org/10.1007/BF01222656

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