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Original scientific paper

Vn-slant helices in Euclidean n-space En

İsmail Gök ; Department of Mathematics, Faculty of Science, University of Ankara, 06 100 Tandoğan-Ankara, Turkey
Çetin Camci ; Department of Mathematics, Art and Science Faculty, Çanakkale Onsekiz Mart University, Çanakkale-17100, Turkey
Hilmi Hacisalihoğlu ; Department of Mathematics, Faculty of Science, University of Ankara, 06 100 Tandoğan-Ankara, Turkey


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Abstract

In this paper, we give a definition of harmonic curvature functions in terms of Vn and we define a new kind of a slant helix. We call this new slant helix a Vn-slant helix in n-dimensional Euclidean space En and define it by using new harmonic curvature functions. We also define a vector field D which we call a Darboux vector field of a Vn-slant helix in n-dimensional Euclidean space En and we give a new characterization as:
\textquotedblleft α:IREn is a Vn-slant helix Hn2k1Hn3=0\textquotedblright,%
where Hn2,Hn3 are harmonic curvature functions and
k1 shows the first curvature function of the curve α.

Keywords

slant helices; harmonic curvature functions; Euclidean n-space

Hrčak ID:

44018

URI

https://hrcak.srce.hr/44018

Publication date:

9.12.2009.

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