Browsing by Author "Kula, Levent"
Now showing items 1-10 of 10
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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 ... -
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 ... -
Helix preserving mappings
Altunkaya, Bülent; Kula, Levent (John Wiley and Sons Ltd, 2021)In this study, we define two types of mappings that preserve the constant angle between the tangent vector field and the axis of a given helix in Euclidean spaces. The first type generates helices in the n-dimensional ... -
Hyperspherical And Hypercylindrical Generalized Helices In The Sense Of Hayden In E2n+1
Altınbaş, Hasan; Altunkaya, Bülent; Kula, Levent (Univ. Nis, 2021)In this paper, we investigate generalized helices in the sense of Hayden in (2n + 1)-dimensional Euclidean space E2n+1. We obtain some results for such curves in E2n+1. Thereafter, we obtain two families of generalized ... -
Mappings that transform helices from Euclidean space to Minkowski space
Altınbaş, Hasan; Mak, Mahmut; Altunkaya, Bülent; Kula, Levent (Hacettepe University, 2022)In this study, we introduce mappings that transform helices in Euclidean n -space to non-null helices in Minkowski n -space or Minkowski (n + 1)-space. Furthermore, we show that these mappings preserve the axes of the ... -
On Polynomial General Helices in n-Dimensional Euclidean Space R-n
Altunkaya, Bulent; Kula, Levent (SPRINGER BASEL AG, 2018)In this work, we study the so-called polynomial general helices in an arbitrary dimensional Euclidean space. First, we give a method to construct helices from polynomial curves in n-dimensional Euclidean space R-n, and ... -
On spacelike rectifying slant helices in Minkowski 3-space
Altunkaya, Bulent; Kula, Levent (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018)In this paper, we study the position vector of a spacelike rectifying slant helix with non-lightlike principal normal vector field in E1(3). First we find the general equations of the curvature and the torsion of spacelike ... -
On Timelike Rectifying Slant Helices in Minkowski 3-Space
Altunkaya, Bulent; Kula, Levent (INT ELECTRONIC JOURNAL GEOMETRY, 2018)In this work, we study timelike rectifying slant helices in E-1(3). First, we find general equations of the curvature and the torsion of timelike rectifying slant helices. After that, by solving second order linear ... -
Polynomial Helices in the n-Dimensional Semi-Euclidean Space with Index Two
Altınbaş, Hasan; Altunkaya, Bülent; Kula, Levent (UNIV NIS, FAC SCI MATH, 2020)In this article, we investigate polynomial helices in the n-dimensional semi-Euclidean space with index two for n >= 4. We obtain some families of spacelike and timelike polynomial helices. These helices have spacelike or ...
