Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 39, No. 2, pp. 317-328 (1998)

Equiform Bundle Motions in $E_3$ with Spherical Trajectories II

Anton Gfrerrer, Johann Lang

Technische Universität Graz, Institut für Geometrie, Kopernikusgasse 24, 8010 Graz, Austria

Abstract: The 3-parameter group of Euclidean bundle motions moves every point of the 3-space on a ball centered in the bundle vertex. In this paper we investigate motions of the 4-parameter group of equiform bundle transformations with the property, that some of the points have spherical orbits i. e. orbits lying in a plane or on a ball. In the first part of this paper we introduced a "principle of transfer" which turned out to be a usefull tool for a systematical approach to these problems. The second part contains a detailed investigation of some motions presented in the first part. We also give parameter representations of these examples.

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