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Geodesics and helices on euclidean space. (English) Zbl 1314.53004

Summary: The relationships between the geodesic curves and helical curves on a hypercylinder on Euclidean space were given by the first author [On the inclined curves, Gazi University Institute of Science Master Theses, Ankara (1992)]. The inclined curves on circular a cylinder are called ordinary helices.
In this study, for the generalization of ordinary helices on a hypercylinder and their relations to geodesic curves are given.

MSC:

53A04 Curves in Euclidean and related spaces
53A05 Surfaces in Euclidean and related spaces
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