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Generating hyperbolical rotation matrix for a given hyperboloid
(Linear Algebra and Its Applications, 2016)
Hyperbolic rotation is hyperbolically the motion of a smooth object on general hyperboloids given by −a1x2+a2y2+a3z2=±λ, λ ∈R+. In this paper, we investigate the hyperbolical rotation matrices in order to get the motion ...
Rotations on a lightcone in minkowski 3-Space
(Advances in Applied Clifford Algebras, Springer, 2017)
In this paper the generalization of the rotations on any lightcone in Minkowski 3-space ℝ1,2𝑔 is given. The rotation motion on the lightcone is examined by means of a bilinear form and Lorentzian notions. We use the ...
On focal curves of null Cartan curves
(Turkish Journal of Mathematics, 2017)
The focal curve, which is determined as the locus of centers of osculating pseudo-spheres of a null Cartan curve, is investigated in Minkowski (n+2)-space Mn+2. Moreover, a curve called acceleration focal curve of a null ...
Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces
(Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 2022)
In this paper, differential invariants of null Cartan curves are studied in (n+2) dimensional Lorentzian similarity geometry. The fundamental theorem for a null Cartan curve in similarity geometry is investigated and the ...
An alternative approach to determination of Covid‑19 personal risk index by using fuzzy logic
(Health and Techonology, 2022)
COVID-19 disease is an outbreak that seriously affected the whole world, occurred in December 2019, and thus was declared a global epidemic by WHO (World Health Organization). To reduce the impact of the epidemic on humans, ...
On conformal curves in 2-dimensional de sitter space
(Advances in Applied Clifford Algebras, 2016)
In this paper, we examine the pseudo-spherical curves, which are equivalent to each other under the conformal maps preserving a fixed point in the de Sitter 2-space, by using the Clifford algebra Cl 2,1. Also, we find the ...
Bäcklund’s theorem for n dimensional lorentzian submanifold in the minkowski space 𝔼21𝑛−1
(Results in Mathematics, 2016)
In this paper, Bäcklund’s Theorem is introduced on the Lorentzian n-submanifold of the Minkowski space 𝔼2𝑛−11 by using the method of moving frames. Also, we prove the Integrability Theorem for the Lorentzian n-submanifold ...
Similar and self-similar curves in minkowski n-space
(Bulletin of Korean Mathematical Society, 2015)
In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the geometric invariants of nonnull curves under the similarity transformations. Besides, we extend the fundamental theorem ...
Shape curvatures of the Lorentzian plane curves
(Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 2017)
In this paper, we examine the Lorentzian similar plane curvesusing the hyperbolic structure and spherical arc length parameter. We classifyall self-similar Lorentzian plane curves and give formulas for pseudo shapecurvatures ...
Some results on p-shape curvatures of non-lightlike space curves
(International Electronic Journal of Geometry, 2018)
In this paper, we obtain some findings for a non-null curve parameterized by spherical arc length. We investigate the relationship between a non-null curve with p-shape curvatures and pseudospherical curves on S21 and ...
