Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 2, pp. 577-586 (2010) |
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Characterizations of special skew ruled surfaces by the normal curvature of some distinguished families of curvesStylianos StamatakisAristotle University of Thessaloniki, Department of Mathematics, GR-54124 Thessaloniki, Greece, e-mail: stamata@math.auth.grAbstract: We consider skew ruled surfaces in the three-dimensional Euclidean space and some geometrically distinguished families of curves on them whose normal curvature has a concrete form. The aim of this paper is to find and classify all ruled surfaces with the mentioned property. Keywords: ruled surfaces, normal curvature, Edlinger-surfaces, right helicoid Classification (MSC2000): 53A25, 53A05 Full text of the article (for subscribers):
Electronic version published on: 24 Jun 2010. This page was last modified: 8 Sep 2010.
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