7 citations · 12 across the 5 of their papers we have counts for
6 papers · 1 filter
Osculating-type Ruled Surfaces in the Euclidean 3-space
Onur Kaya, Tanju Kahraman, Mehmet Önder
In the present paper, a new type of ruled surfaces called osculating-type (OT)-ruled surface is introduced and studied. First, a new orthonormal frame is defined for OT-ruled surfa…
Generalized Normal Ruled Surface of a Curve in the Euclidean 3-space
Onur Kaya, Mehmet Önder
In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space . We study the geometry of such surfaces by calculating the Gaussian and mean…
Construction of a surface pencil with a common special surface curve
Onur Kaya, Mehmet Önder
In this study, we introduce a new type of surface curves called D-type curve. This curve is defined by the property that the unit Darboux vector W0 of a space curve r(s) and unit s…
Characterizations of Slant Ruled Surfaces in the Euclidean 3-space
Mehmet Önder, Onur Kaya
In this study, we give the relationships between the conical curvatures of ruled surfaces drawn by the unit vectors of the ruling, central normal and central tangent of a regular r…
Darboux Slant Ruled Surfaces
Mehmet Önder, Onur Kaya
In this study, we introduce Darboux slant ruled surfaces in the Euclidean 3-space which is defined by the property that the Darboux vector of orthonormel frame of ruled surface mak…
Eikonal Slant Helices and Eikonal Darboux Helices In 3-Dimensional Riemannian Manifolds
Mehmet Önder, Evren Ziplar, Onur Kaya
In this study, we give definitions and characterizations of eikonal slant helix curves, eikonal Darboux helices and non-normed eikonal Darboux helices in three dimensional Riemanni…