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Toplam kayıt 4, listelenen: 1-4
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 ...
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 ...
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 ...