Yazar "Ünlütürk, Yasin" için listeleme
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ON CHARACTERIZATIONS OF SOME SPECIAL CURVES OF SPACELIKE CURVES ACCORDING TO THE TYPE-2 BISHOP FRAME IN MINKOWSKI 3-SPACE
Ünlütürk, Yasin (Kırklareli Üniversitesi, 2016)In this paper, first we give a characterization of spacelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of spacelike curves according to the type-2 Bishop ... -
On Characterizations of Some Special Curves of Timelike Curves According to the Bishop Frame of Type-2 in Minkowski 3-Space
Yılmaz, Suha; Ünlütürk, Yasin; Mağden, Abdullah (Amer Inst Physics, 2016)In this paper, first we give a characterization of timelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of timelike curves according to the type-2 Bishop ... -
On Curves of Constant Width Due to The Bishop Frame of Type-2 In Dual Euclidean Space D^3
Ünlütürk, Yasin (2016-04)In this work, we study dual constant width curves due to the Bishop frame of type-2 in dual space D^3 . We obtain a differential equation which characterizes these curves in D^3. For special solutions of this differential ... -
ON CURVES OF CONSTANT WIDTH DUE TO THE BISHOP FRAME OF TYPE-2 IN DUAL EUCLIDEAN SPACE D^3
Ünlütürk, Yasin (Kırklareli Üniversitesi, 2016)In this work, we study dual constant width curves due to the Bishop frame of type-2 indual space 3 D . We obtain a differential equation which characterizes these curves in ??^3. Forspecial solutions of this differential ... -
ON DARBOUX HELICES IN THE COMPLEX SPACE C-3
Ünlütürk, Yasin; Korpınar, Talat (Editura Bibliotheca-Bibliotheca Publ House, 2019)In this study, using Darboux vector of an isotropic curve given by Semin in [1], we give a characterization of isotropic Darboux helices in the complex space C-3. We show that an isotropic curve to be a Darboux helix has ... -
On k-type pseudo null slant helices due to the Bishop frame in Minkowski 3-space E-1(3)
Ünlütürk, Yasin; Korpmar, Talat; Çimdiker, Muradiye (Amer Inst Mathematical Sciences-Aims, 2020)In this study, we examine k-type pseudo null slant helices due to the Bishop frame, where k is an element of{0, 1, 2}. There are two different cases of the Bishop frame of a pseudo null curve related to the Bishop curvatures. ... -
On motion of robot end-effector using the curvature theory of timelike ruled surfaces with timelike directrix
Dede, Mustafa; Ekici, Cumali; Ünlütürk, Yasin (Universiti Putra Malaysia, 2014)In this paper, we deal with the differential geometric properties of robot end-effector's motion by using the curvature theory of timelike ruled surfaces with timelike directrix. -
On the curvatures of spacelike circular surfaces
Abdel-Baky, Rashad A.; Ünlütürk, Yasin (Academic Publication Council, 2016)In this paper a complete system of invariants is presented to study spacelike circular surfaces with fixed radius. The study of spacelike circular surfaces is simplified to the study of two curves: the Lorentzian spherical ... -
ON THE SPHERICAL INDICATRIES OF CURVES IN GALILEAN 4-SPACE
Yılmaz, Suha; Ünlütürk, Yasin (Indonesian Mathematical Soc, 2019)Euclidean and non-Euclidean geometries can be considered as spaces that are invariant under a given group of transformations [8]. The geometry established by this approach is called Cayley-Klein geometry. Galilean 4-space ... -
On the variational curves due to the ED-frame field in Euclidean 4-space
In this study, we define a variational field for constructing a family of Frenet curves of the length l lying on aconnected oriented hypersurface and calculate the length of the variational curves due to the ED-frame field ... -
THE RELATIONS BETWEEN NULL GEODESIC CURVES AND TIMELIKE RULED SURFACES IN DUAL LORENTZIAN SPACE D-1(3)
Ünlütürk, Yasin; Yılmaz, Suha; Ekici, Cumali (Honam Mathematical Soc, 2019)In this work, we study the conditions between null geodesic curves and timelike ruled surfaces in dual Lorentzian space. For this study, we establish a system of differential equations characterizing timelike ruled surfaces ... -
THE RELATIVELY OSCULATING DEVELOPABLE SURFACES OF A SURFACE ALONG A DIRECTION CURVE
Abdel-Baky, Rashad A.; Ünlütürk, Yasin (Ankara Univ, Fac Sci, 2020)We construct a developable surface tangent to a surface along a curve on the surface. We call this surface as relatively osculating developable surface. We choose the curve as the tangent normal direction curve on which ... -
A study on classification of translation surfaces in pseudo-Galilean 3-space
Abdel-Baky, Rashad A.; Ünlütürk, Yasin (Amer Scientific Publishers, 2018)In this paper, we characterize translation surfaces such as translation surfaces of type-I and type-II in pseudo-Galilean 3-space G(3)(1). Then we study some classification of translation surfaces of type-I in pseudo-Galilean ... -
A study on the characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3-space
Yılmaz, Süha; Ünlütürk, Yasin; Mağden, Abdullah (2016)Bu çalışmada, E_1^3 de Bishop çatısının yeni bir yorumuna göre null olmayan eğrilerin klasik diferensiyel geometrisini inceliyoruz. Bu yeni yorumlanan çatıyı, 2. Tip Bishop çatısı şeklinde adlandırıyoruz. Öncelikle, bir ... -
Twisted surfaces with vanishing curvature in Galilean 3-space
Dede, Mustafa; Ekici, Cumali; Goemans, Wendy; Ünlütürk, Yasin (World Scientific Publ Co Pte Ltd, 2018)In this work, we define twisted surfaces in Galilean 3-space. In order to construct these surfaces, a planar curve is subjected to two simultaneous rotations, possibly with different rotation speeds. The existence of ...