Yazar "Ünlütürk, Yasin" için Makale Koleksiyonu listeleme
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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 ...