8 citations · 11 across the 11 of their papers we have counts for
12 papers
Intrinsic Finite-Step Characterizations of Discrete General Helices
Dae Won Yoon, Chul Woo Lee, Jae won Lee
We study polygonal general helices in Euclidean three-space using the turning and signed torsion angles of the discrete Frenet frame. For helices whose axis is not orthogonal to th…
Canal Hypersurfaces Generated by Non-Null Curves with Parallel Frame in Minkowski Space-Time
Mustafa Altın, Ahmet Kazan, Dae Won Yoon
In the present paper, firstly we obtain the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres whose centers l…
Timelike General Rotational Surfaces in Minkowski 4-Space with Density
Ahmet Kazan, Mustafa Altın, Dae Won Yoon
In this study, we give weighted mean and weighted Gaussian curvatures of two types of timelike general rotational surfaces with non-null plane meridian curves in four-dimensional M…
Canal Hypersurfaces Generated by Pseudo Null, Partially Null and Null Curves in Lorentz-Minkowski 4-Space
Mustafa Altin, Ahmet Kazan, Dae Won Yoon
In this paper, we obtain the parametric expressions of the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres…
The evolution of the electric field along optical fiber for the type-2 and 3 PAFs in Minkowski 3-space
Nevin Ertug Gurbuz, Dae Won Yoon
In this paper, we introduce the type-2 and the type-3 Positional Adapted Frame(PAF) of spacelike curve and timelike curve in Minkowski 3-space. From these PAFs, we study the evolut…
Canal Hypersurfaces Generated by Non-Null Curves in Lorentz-Minkowski 4-Space
Ahmet Kazan, Mustafa Altin, Dae Won Yoon
In the present paper, firstly we obtain the general expression of the canal hypersurfaces which are formed as the envelope of a family of pseudo hyperspheres, pseudo hyperbolic hyp…
Geometric Characterizations of Canal Hypersurfaces in Euclidean Spaces
Ahmet Kazan, Mustafa Altın, Dae Won Yoon
In the present paper, firstly we obtain the general expression of canal hypersurfaces in Euclidean n-space and deal with canal hypersurfaces in Euclidean 4-space E4. We compute Gau…
Evolution of Spacelike Curves and Special Timelike Ruled Surfaces in the Minkowski Space
Dae Won Yoon, Zuhal Kucukarslan Yuzbasi, Ebru Cavlak Aslan
In this paper, we get the time evolution equations of the curvature and torsion of the evolving spacelike curves in the Minkowski space. Also, we give inextensible evolutions of ti…
Characterizations of Normal and Binormal Surfaces in G3
Dae Won Yoon, Zuhal Kucukarslan Yuzbasi
In this paper, our aim is to give surfaces in the Galilean 3-space G3 with the property that there exist four geodesics through each point such that every surface built with the no…
On Geometry of Isophote Curves in Galilean space
Zuhal Kucukarslan Yuzbasi, Dae Won Yoon
In this paper, we introduce isophote curves on surfaces in Galilean 3-space. Apart from the general concept of isophotes, we split our studies into two cases to get the axis d of i…
An Approach for Hypersurface Family with Common Geodesic Curve in the 4D Galilean Space G4
Zühal Küçükarslan Yüzbaşı, Dae Won Yoon
In the present study, we derive the problem of constructing a hypersurface family from a given isogeodesic curve in the 4D Galilean space We obtain the hypersurfa…
Weingarten and Linear Weingarten Canal Surfaces
Yılmaz Tunçer, Dae Won Yoon
In this study, we investigated the (K,H), (K,K_{II}), (H,K_{II})-Weingarten and (K,H),(K,K_{II}),(H,K_{II}) and (K,H,K_{II})-linear Weingarten canal surfaces in IR^3.