Yazar "Ilarslan, Kazim" için listeleme
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An application of Ritt-Wu's zero decomposition algorithm to null Bertrand type curves in Minkowski 3-space
Yildirim, Mehmet; Ilarslan, Kazim (Hacettepe Univ, Fac Sci, 2010)Bertrand curves were first studied using a computer by W. -T. Wu in (A mechanization method of geometry and its applications II. Curve pairs of Bertrand type, Kexue Tongbao 32, 585-588, 1987). The same problem was studied ... -
An application of Ritt-Wu's zero decomposition algorithm to the pseudo null Bertrand type curves in Minkowski 3-space
Ilarslan, Kazim; Yildirim, Mehmet (Springer Heidelberg, 2011)The Bertrand curves were first studied using a computer by Wu (1987). The same problem was studied using an improved version of Ritt-Wu's decomposition algorithm by Chou and Gao (1993). This paper investigates the same ... -
Bi-null curves with constant curvatures in R-2(5)
Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim (Springer Basel Ag, 2019)In the present paper, we classify bi-null curves with constant curvatures in semi-Euclidean 5-space R-2(5) with index 2. -
Characterizations of the position vector of a surface curve in Euclidean 3-space
Camci, Cetin; Kula, Levent; Ilarslan, Kazim (Ovidius Univ Press, 2011)In this paper, we give some characterizations of position vector of a unit speed curve in a regular surface M subset of E-3 which always lies in the planes spanned by {T, Z}, {T, Y} and {Y, Z}, respectively, by using ... -
Characterizations of timelike slant helices in Minkowski 3-space
Gok, Ismail; Nurkan, Semra Kaya; Ilarslan, Kazim; Kula, Levent; Altinok, Mesut (Univ Osijek, Dept Mathematics, 2014)In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski 3-space E-1(3) and we construct their Frenet equations and curvature ... -
Differential Geometry From a Singularity Theory Viewpoint
Ilarslan, Kazim (Inst Biophysics & Biomedical Engineering, Bulgarian Acad Sciences, 2016)… -
Directional del-derivative and Curves on n-dimensional Time Scales
Aktan, Nesip; Sarikaya, Mehmet Zeki; Ilarslan, Kazim; Yildirim, Hueseyin (Springer, 2009)The general ideal in this paper is to study a differential calculus for multivariable functions, directional del-derivative and curves of parametric equations on n-dimensional time scales. -
Elastic Sturmian spirals in the Lorentz-Minkowski plane
Ucum, Ali; Ilarslan, Kazim; Mladenov, Ivailo M. (De Gruyter Poland Sp Zoo, 2016)In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more ... -
THE FIRST KIND AND THE SECOND KIND OSCULATING CURVES IN MINKOWSKI SPACE-TIME
Ilarslan, Kazim; Nesovic, Emilija (Publ House Bulgarian Acad Sci, 2009)In this paper we define the first kind and the second kind osculating curve in Minkowski space-time E-1(4). We restrict our investigation of osculating curves in E-1(4) to spacelike curves whose Frenet frame contains only ... -
Frenet Curves in Euclidean 4-Space
Deshmukh, Sharief; Al-Dayel, Ibrahim; Ilarslan, Kazim (Int Electronic Journal Geometry, 2017)In this paper, we study rectifying curves arising through the dilation of unit speed curves on the unit sphere S-3 and conclude that arcs of great circles on S-3 do not dilate to rectifying curves, which develope previously ... -
General Helices with Lightlike Slope Axis
Camci, Cetin; Ilarslan, Kazim; Ucum, Ali (Univ Nis, Fac Sci Math, 2018)In this paper, we investigate general helices with lightlike slope axis. We give necessary and sufficient conditions for a general helix to have a lightlike slope axis. We obtain parametric equation of all general helices ... -
General helices with spacelike slope axis in Minkowski 3-space
Ucum, Ad; Camci, Cetin; Ilarslan, Kazim (World Scientific Publ Co Pte Ltd, 2019)In the present paper, we consider general helix with spacelike slope axis for all possible types of curves in Minkowski 3-space. We give the conditions under which the curves in Minkowski 3-space have spacelike slope axis. ... -
General Helices with Timelike Slope Axis in Minkowski 3-Space
Ucum, Ali; Camci, Cetin; Ilarslan, Kazim (Springer Basel Ag, 2016)In the present paper, we consider the general helices in Minkowski 3-space to have a constant timelike slope axis. As a result, we show that there exists no pseudo null helix with constant timelike slope axis or spacelike ... -
Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time
Ucum, Ali; Kecilioglu, Osman; Ilarslan, Kazim (Scientific Technical Research Council Turkey-Tubitak, 2016)In this paper, we reconsider the (1, 3)-Bertrand curves with respect to the casual characters of a (1, 3)-normal plane that is a plane spanned by the principal normal and the second binormal vector fields of the given ... -
Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowski space-time
Ucum, Ali; Kecilioglu, Osman; Ilarslan, Kazim (Academic Publication Council, 2015)In this paper, we reconsider the (1,3)-Bertrand curves with respect to the casual characters of (1,3)-normal plane which is a plane spanned by the principal normal and the second binormal vector fields of the given curve. ... -
Generalized Null Bertrand Curves In Minkowski Space-Time
Aksoyak, Ferdag Kahraman; Gok, Ismail; Ilarslan, Kazim (Univ Al I Cuza, Fac Math, 2014)COKEN and CIFTCI proved that a null Cartan curve in Minkowski space-time E-1(4) is a null Bertrand curve if and only if k(2) is nonzero constant and k(3) is zero. That is, the null curve with non-zero curvature k(3) is not ... -
Generalized pseudo null Bertrand curves in semi-Euclidean 4-space with index 2
Ucum, Ali; Kecilioglu, Osman; Ilarslan, Kazim (Springer-Verlag Italia Srl, 2016)In this paper, we study generalized pseudo null Bertrand curves in semi-Euclidean 4-space E-2(4) with index 2. We get the necessary and sufficient conditions for pseudo null curves to be generalized Bertrand curves and we ... -
Harmonic curvatures and generalized helices in E-n
Camci, Cetin; Ilarslan, Kazim; Kula, Levent; Hacisalihoglu, H. Hilmi (Pergamon-Elsevier Science Ltd, 2009)In n-dimensional Euclidean space E-n, harmonic curvatures of a non-degenerate curve defined by Ozdamar and Haci-salihoglu [Ozdamar E, Hacisalihoglu HH. A characterization of Inclined curves in Euclidean n-space. Comm Fac ... -
k-Type Bi-null Cartan Slant Helices in R-3(6)
Ucum, Ali; Ilarslan, Kazim; Sakaki, Makoto (Southeast Asian Mathematical Soc-Seams, 2018)In the present paper, we give the notion of k-type bi-null Cartan slant helices in R-3(6), where k ( )is an element of {1, 2, 3, 4, 5, 6}. We give the necessary and sufficient conditions for bi-null Cartan curves to be ... -
k-Type bi-null slant helices in R-2(5)
Ucum, Ali; Ilarslan, Kazim; Sakaki, Makoto (Springer Basel Ag, 2017)In the present paper, we give the notion of k-type bi-null slant helices in R-2(5), where k is an element of {0, 1, 2, 3, 4}. We give the necessary and sufficient conditions for bi-null curves to be k-type slant helices ...