In this work, we introduce a new version of Bishop frame using a common vector field as
binormal vector field of a regular curve and call this frame as “Type-2 Bishop Frame” …

In this paper, non-lightlike ruled surfaces of constant slope in Minkowski 3-space with a non-
lightlike base curve c (s)=∫ α t+ β n+ γ bds, where t, n, b are tangent, principal normal and …

Slant helices in three dimensional Lie groups - ScienceDirect Skip to main contentSkip to article
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In this paper, we introduce the notion of the principal (binormal)-directional curve and the
principal (binormal)-donor curve of the Frenet curve in the Minkowski space E13 …

In this paper, firstly, we define a W-direction curve and W-rectifying curve of a Frenet curve in
3-dimensional Euclidean space E^ 3 by using the unit Darboux vector field W of the Frenet …

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2 ) , 200 -- 2 1 0 < Page 1 <noindent MATEMATIQKI VESNIK < hfill originalni nauqni rad <hspace …

In this paper, we define a new special curve in Euclidean 3-space which we call {\it $ k-$
slant helix} and introduce some characterizations for this curve. This notation is …

In this paper, we consider a regular curve on an oriented surface in Euclidean 3-space with
the Darboux frame {T,U,V\} along the curve, where T is the unit tangent vector field of the …

k−type partially null and pseudo null slant helices in Minkowski 4-space 1. Introduction Page 1
MATHEMATICAL COMMUNICATIONS 93 Math. Commun. 17(2012), 93–103 k−type partially …

In this work, first, we construct Frenet-Serret frame of a curve in the Galilean 4-space. As a
result of this, we obtain the mentioned curve's Frenet-Serret equations. Then, we prove that …