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7568993 
Journal Article 
V-n-slant helices in Euclidean n-space E-n 
Gok, I; Camci, C; Hacisalihoglu, HH 
2009 
1 
Mathematical Communications
ISSN: 1331-0623 
14 
2 
317-329 
WOS:000272591200014 
In this paper, we give a definition of harmonic curvature functions in terms of V-n and we define a new kind of a slant helix. We call this new slant helix a V-n-slant helix in n-dimensional Euclidean space En and define it by using new harmonic curvature functions. We also de fine 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: "alpha : I subset of R -> E-n is a V-n-slant helix <-> Hn-2*' - k1H(n-3)* = 0", where Hn-2*, Hn-3* are harmonic curvature functions and k(1) shows the first curvature function of the curve alpha.