Beitr\ EMIS ELibM Electronic Journals 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 curves

Stylianos Stamatakis

Aristotle University of Thessaloniki, Department of Mathematics, GR-54124 Thessaloniki, Greece, e-mail:

Abstract: 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

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Electronic version published on: 24 Jun 2010. This page was last modified: 8 Sep 2010.

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© 2010 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition