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TIMELIKE HELICES IN THE SEMI-EUCLIDEAN SPACE E24

, 2022
In this paper, we define timelike curves in R-2(4) and characterize such curves in terms of Frenet frame. Also, we examine the timelike helices of R-2(4), taking into account their curvatures. In addition, we study timelike slant helices, timelike B-1-slant helices, timelike B-2-slant helices in four dimensional semi-Euclidean space, R-2(4).
Aydin, Tuba Agirman, Ayazoglu, Rabil, Kocayigit, Huseyin   +2 more
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Infinitesimal rigidity of hyperquadrics in semi-Euclidean space

International Journal of Geometric Methods in Modern Physics, 2016
In this paper, we show that hyperquadrics are infinitesimally rigid in a semi-Euclidean space. We also show that hypersurfaces of hyperquadrics cut by hyperplanes not passing through the origin are infinitesimally rigid in the hyperquadrics, whereas those cut by hyperplanes through the origin are not infinitesimally rigid in hyperquadrics. Furthermore,
Hyelim Han
exaly   +2 more sources

On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces

Mediterranean Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yeğgin Şen, Rüya, Kelleci, Alev, Turgay, Nurettin Cenk, Özkara Canfes, Elif   +3 more
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On biharmonic hypersurfaces in semi-Euclidean spaces

AIP Conference Proceedings, 2018
6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA) -- AUG 15-17, 2017 -- Budapest ...
Sevinc, Sibel, Sekerci, Gulsah Aydin, Coken, Abdilkadir Ceylan   +2 more
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On Joachimsthal’s theorems in semi-Euclidean spaces

Nonlinear Analysis: Theory, Methods & Applications, 2009
The authors obtain a relation between the curvatures of the strips in semi-Euclidean space \(E^{n}_{\nu}\) in a matrix form depending on a semi-orthogonal matrix. By using this matrix equation they give a generalization of the Joachimstal theorem in Minkowski 3-space \(E^{3}_{1}\).
GÖRGÜLÜ, ALİ, Coken, A. Ceylan
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ON PSEUDOSYMMETRY TYPE HYPERSURFACES OF SEMI-EUCLIDEAN SPACES I

Acta Mathematica Scientia, 2002
Let \(M\) be a semi-Riemannian hypersurface of \(E^{n+1}_s\) \((n\geq 4)\) and \(g,H,R,C\) its metric, second fundamental, curvature, and Weyl conformal curvature tensor field, respectively. Let \(H^p(X,Y)= H^{p-1}(HX,Y)\) \((p=2,3, \dots)\). In this paper such \(M\) are studied, which satisfy \((\alpha C+\beta R)H= L_kQ(g,H^k)\), where \(\alpha,\beta\)
Murathan, CENGİZHAN, Ezentas, RIDVAN, Arslan, KADRİ, Ozgur, C, Deszcz, R   +4 more
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On partially null and pseudo null curves in the semi-euclidean space $$ R^{4}_{2} $$ [PDF]

Journal of Geometry, 2006
In this paper, we obtain the Frenet equations of a pseudo null and a partially null curves, lying fully in the semi–Euclidean space R4_2, and classify all such curves with constant ...
KAZIM Ilarslan, EMILIJA Nešović, Petrovic-Torgasev MIROSLAVA   +2 more
exaly   +2 more sources

Minimal homothetical hypersurfaces of a semi-euclidean space

Results in Mathematics, 1995
The author considers non-degenerate hypersurfaces with zero mean curvature of the \((n+ 1)\)-dimensional semi-Euclidean space with index \(s\), \(\mathbb{R}^{n+ 1}_s\). He calls a non-degenerate hypersurface homothetical if it is locally given by graphs of functions \(f(x_1, x_2,\dots, x_n)= f(x_1) f(x_2)\cdots f(x_n)\), where \(f_i\) are functions of ...
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Split quaternions and semi-Euclidean projective spaces

Chaos, Solitons & Fractals, 2009
Abstract In this study, we give one-to-one correspondence between the elements of the unit split three-sphere S ( 3 , 2 ) with the complex hyperbolic special unitary matrices SU ( 2 , 1 ) . Thus, we express spherical concepts such as meridians of longitude and parallels of latitude on SU ( 2 , 1 ) by using the ...
Ata, Erhan, Yaylı, Yusuf
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On some class of hypersurfaces of semi-Euclidean spaces

Publicationes Mathematicae Debrecen, 2001
The paper is devoted to the investigation of semisymmetric and Ricci-semisymmetric hypersurfaces of semi-Euclidean spaces. A (semi-)Riemannian manifold is semisymmetric if \(R\cdot R=0\), it is Ricci-semisymmetric if \(R\cdot S=0\) where the tensor fields \(R\) and \(S\) denote the curvature and the Ricci curvature tensor.
Ezentas, RIDVAN, Murathan, CENGİZHAN, Arslan, KADRİ, Ozgur, C, Deszcz, R   +4 more
openaire   +3 more sources