Yazar "0000-0002-1028-2676 [Şimşek, Hakan]" için Scopus İndeksli Yayınlar Koleksiyonu listeleme
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Bäcklund’s theorem for n dimensional lorentzian submanifold in the minkowski space 𝔼21𝑛−1
Şimşek, Hakan; Özdemir, Mustafa (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 ... -
Generating hyperbolical rotation matrix for a given hyperboloid
Şimşek, Hakan; Özdemir, Mustafa (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 ... -
On conformal curves in 2-dimensional de sitter space
Şimşek, Hakan; Özdemir, Mustafa (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 ... -
On focal curves of null Cartan curves
Şimşek, Hakan (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 ... -
On the eigenvalues and eigenvectors of a lorentzian rotation matrix by using split quaternions
Özdemir, Mustafa; Erdoğdu, Melek; Şimşek, Hakan (Advances in Applied Clifford Algebras, 2014)In this paper, we examine eigenvalue problem of a rotation matrix in Minkowski 3 space by using split quaternions. We express the eigenvalues and the eigenvectors of a rotation matrix in term of the coefficients of the ... -
Rotations on a lightcone in minkowski 3-Space
Şimşek, Hakan; Özdemir, Mustafa (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 ... -
Similar and self-similar curves in minkowski n-space
Şimşek, Hakan; Özdemir, Mustafa (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 ...