Yazar "Ilarslan, Kazim" için listeleme
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On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space
Nesovic, Emilija; Ozturk, Ufuk; Ozturk, Esra B. Koc; Ilarslan, Kazim (Int Electronic Journal Geometry, 2016)In this paper, we classify the ruled surfaces with a pseudo null base curve in Minkowski 3-space as spacelike, timelike and lightlike surfaces and obtain the corresponding striction curve and distribution parameter. In ... -
On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space
Ozturk, Ufuk; Ozturk, Esra Betul Koc; Ilarslan, Kazim (Hindawi Publishing Corporation, 2013)We have generalized the involute and evolute curves of the pseudonull curves alpha in E-1(3); that is, alpha is a spacelike curve with a null principal normal. Firstly, we have shown that there is no involute of the ... -
On Timelike Bertrand Curves In Minkowski 3-Space
Ucum, Ali; Ilarslan, Kazim (Honam Mathematical Soc, 2016)In this paper, we study the timelike Bertrand curves in Minkowski 3-space. Since the principal normal vector of a timelike curve is spacelike, the Bertrand mate curve of this curve can be a timelike curve, a spacelike curve ... -
Osculating curves in 4-dimensional semi-Euclidean space with index 2
Ilarslan, Kazim; Kilic, Nihal; Erdem, Hatice Altin (De Gruyter Open Ltd, 2017)In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves. Also we give some examples of non-null ... -
PARTIAL Delta-DIFFERENTIATION FOR MULTIVARIABLE FUNCTIONS ON n-DIMENSIONAL TIME SCALES
Sarikaya, Mehmet Zeki; Aktan, Nesip; Yildirim, Huseyin; Ilarslan, Kazim (Element, 2009)The general idea of this paper is to study a differential calculus for multivariable functions on time scales. Such a calculus can be used to develop a theory of partial dynamic equations on time scales. -
Position vectors of a spacelike W-curve in minkowski space E-1(3)
Ilarslan, Kazim; Boyacioglu, Oezguer (Korean Mathematical Soc, 2007)In this paper, we study the position vectors of a spacelike W-curve (or a helix), i.e., curve with constant curvatures, with spacelike, timelike and null principal normal in the Minkowski 3-space E-1(3). We give some ... -
Position vectors of a timelike and a null helix in Minkowski 3-space
Ilarslan, Kazim; Boyacioglu, Oezguer (Pergamon-Elsevier Science Ltd, 2008)In this paper, we study the position vectors of a timelike and a null helix (or a W-curve), i.e. curve with constant curvatures in the Minkowski 3-space E-1(3). We give some characterizations for timelike and null helix ... -
Ruled surfaces with bi-null curves in R-2(5)
Sakaki, Makoto; Ucum, Ali; Ilarslan, Kazim (Springer-Verlag Italia Srl, 2017)In the present paper, we discuss the geometric properties of two classes of ruled surfaces whose directrix curve is a bi-null curve in semi-Euclidean space R-2(5). We get some classes of flat marginally trapped surfaces in R-2(5). -
Some Characterizations Of Generalized Null Mannheim Curves In Semi-Euclidean Space
Aslan, Nihal Kilic; Ilarslan, Kazim (INST BIOPHYSICS & BIOMEDICAL ENGINEERING, BULGARIAN ACAD SCIENCES, 2020)In the present paper, we investigate Cartan framed generalized null Mannheim curves in the four-dimensional semi-Euclidean space of index two. We construct the Cartan (or Frenet) frames and curvature functions of generalized ... -
Some characterizations of null osculating curves in the Minkowski space-time
Ilarslan, Kazim; Nesovic, Emilija (Estonian Academy Publishers, 2012)In this paper we give the necessary and sufficient conditions for null curves in E-1(4), to be osculating curves in terms of their curvature functions. In particular, we obtain some relations between null normal curves and ... -
Sturmian Spirals In Lorentz-Minkowski Plane
Ilarslan, Kazim; Ucum, Ali; Mladenov, Ivailo M. (Inst Biophysics & Biomedical Engineering, Bulgarian Acad Sciences, 2015)The Sturm spirals which can be introduced as those plane curves whose curvature radius is equal to the distance from the origin are embedded in to one parameter family of curves. In this paper, we consider the spacelike ... -
Tensor product surfaces of a Lorentzian space curve and a Euclidean plane curve
Ilarslan, Kazim; Nesovic, Emilija (Academic Publication Council, 2007)In this paper, we classify all minimal, totally real and complex tensor product surfaces of a Lorentzian space curve and a Euclidean plane curve.