Yazar "Ilarslan, Kazim" için listeleme
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Lorentzian stationary surfaces and bi-null curves in R-2(5)
Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim (World Scientific Publ Co Pte Ltd, 2017)In this paper, we study Lorentzian stationary surfaces related to bi-null curves in R-2(5). Considering a Gauss-like map, we get Lorentzian stationary surfaces and marginally trapped surfaces in the pseudo-sphere S-2(4) (1). -
Mannheim B-Curve Couples In Minkowski 3-Space
Ilarslan, Kazim; Ucum, Ail; Nesovic, Emilija; Aslan, Nihail Kilic (TAMKANG UNIV, 2020)In this paper, we define null Cartan Mannheim and pseudo null Mannheim curves in Minkowski 3-space according to their Bishop frames. We obtain the necessary and the sufficient conditions for pseudo null curves to be Mannheim ... -
A new approach to Bertrand curves in Euclidean 3-space
Camci, Cetin; Ucum, Ali; Ilarslan, Kazim (SPRINGER BASEL AG, 2020)In this article, a new approach is given for Bertrand curves in 3-dimensional Euclidean space. According to this approach, the necessary and sufficient conditions including the known results have been obtained for a curve ... -
A new approach to design the ruled surface
Tas, Ferhat; Ilarslan, Kazim (World Scientific Publ Co Pte Ltd, 2019)This paper considers a kind of design of a ruled surface. The design interconnects some concepts from the fields of computer-aided geometric design (CAGD) and kinematics. Dual unit spherical Bezier-like curves on the dual ... -
A New Method For Construction Of Ph-Helical Curves In E-3
Camci, Cetin; Ilarslan, Kazim (Publ House Bulgarian Acad Sci, 2019)Helices curves are characterized by the property that their unit tangents maintain a constant inclination with respect to a fixed line, the axis of the helix. If a polynomial space curve is helical, it must be a ... -
New Results for General Helix in Euclidean 3-space
Ilarslan, Kazim (Amer Inst Physics, 2018)Finding parametric equation of a space curve is not easy task when its curvature functions are given. It is well known that this problem is known as fundamental theorem of a space curve. If the curvature functions are ... -
New Types of Canal Surfaces in Minkowski 3-Space
Ucum, Ali; Ilarslan, Kazim (Springer Basel Ag, 2016)Canal surface is a surface formed as the envelope of a family of spheres whose centers lie on a space curve. In Minkowski 3-space, many authors studied canal surfaces. However, when one investigates the papers, it is obvious ... -
Note On Bertrand B-Pairs Of Curves In Minkowski 3-Space
Ilarslan, Kazim; Ucum, Ali; Aslan, Nihal Kilic; Nesovic, Emilija (Honam Mathematical Soc, 2018)In this paper, we define null Cartan and pseudo null Bertrand curves in Minkowski space ET according to their Bishop frames. We obtain the necessary and sufficient conditions for pseudo null curves to be Bertand B-curves ... -
A Note On Lamarle Formula Inminkowski 3-Space
Ozturk, Ufuk; Ilarslan, Kazim; Ozturk, Esra Betul Koc; Nesovic, Emilija (Tamkang Univ, 2018)The Lamarle formula is known as a simple relation between the Gaussian curvature and the distribution parameter of a non-developable ruled surface. In this paper, we obtain the Lamarle formula of a non-developable ruled ... -
On (1, 3)-Cartan null Bertrand curves in semi-Euclidean 4-space with index 2
Ucum, Ali; Ilarslan, Kazim; Sakaki, Makoto (Springer Basel Ag, 2016)In this paper, we study generalized Cartan null Bertrand curves in semi-Euclidean 4-space E-2(4) with index 2. -
On bi-null Cartan curves in semi-Euclidean 6-space with index 3
Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim (Springer Basel Ag, 2016)In this paper, we study bi-null curves in semi-Euclidean 6-space with index 3, R-3(6). We construct the Frenet frame and Cartan curvature functions of bi-null curves in R-3(6). Also we discuss some properties of bi-null ... -
On Bishop frame of a null Cartan curve in Minkowski space-time
Ilarslan, Kazim; Nesovic, Emilija (World Scientific Publ Co Pte Ltd, 2018)In this paper, we define the Bishop frame of a null Cartan curve in Minkowski space-time E-1(4). We obtain the Bishop's frame equations of a null Cartan curve which lies in the timelike hyperplane of E-1(4). We show that ... -
On Darboux helices in Euclidean 4-space
Ilarslan, Kazim; Yildirim, Mehmet (Wiley, 2019)The notion of Darboux helix in Euclidean 3-space was introduced and studied by Yayli et al. 2012. They show that the class of Darboux helices coincide with the class of slant helices. In a special case, if the curvature ... -
On generalized null Mannheim curves in E24
Ilarslan, Kazim; Aslan, Nihal Kilic (WILEY, 2021)In the present paper, we introduce the notion of Cartan-framed generalized null Mannheim curves in four-dimensional semi-Euclidean space with index 2, E24. We obtain the Cartan (or Frenet) frames and curvature functions ... -
On Generalized Null Mannheim Curves In Minkowski Space-Time
Grbovic, Milica; Ilarslan, Kazim; Nesovic, Emilija (Publications L Institut Mathematique Matematicki, 2016)We define generalized null Mannheim curves in Minkowski space-time and characterize them and their generalized Mannheim mate curves in terms of curvature functions, and obtain relations between their frames. We provide ... -
On Generalized Spacelike Mannheim Curves in Minkowski Space-Time
Ilarslan, Kazim; Ucum, Ali; Nesovic, Emilija (Natl Acad Sciences India, 2016)In this paper, by taking consideration of all possible causal characters of the plane spanned by {B-1*; B-2* }, we give the necessary and sufficient conditions for spacelike curves in E-1(4) to be generalized spacelike ... -
On Generalized Timelike Mannheim Curves in Minkowski Space-time
Ucum, Ali; Nesovic, Emilija; Ilarslan, Kazim (Taylor & Francis Ltd, 2015)In Minkowski space-time, timelike generalized Mannheim curves are studied by Akyigit and et al in [1]. In that paper, the authors take the Mannheim mate alpha* of the timelike curve a as a timelike curve in Minkowski ... -
On Mannheim partner curves in dual Lorentzian space
Ozkaldi, Siddika; Ilarslan, Kazim; Yayli, Yusuf (Hacettepe Univ, Fac Sci, 2011)In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D(1)(3), and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual ... -
On osculating, normal and rectifying bi-null curves in (6)(3)
Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim (Taylor & Francis Ltd, 2017)In this paper we give the necessary and sufficient conditions for bi-null curves in (6)(3) to be osculating, normal or rectifying curves in terms of their curvature functions. -
On Pseudospherical Smarandache Curves in Minkowski 3-Space
Ozturk, Esra Betul Koc; Ozturk, Ufuk; Ilarslan, Kazim; Nesovic, Emilija (Hindawi Ltd, 2014)In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions ...