Results 131 to 140 of about 10,848 (164)
Some of the next articles are maybe not open access.
Minimal homothetical hypersurfaces of a semi-euclidean space
Results in Mathematics, 1995The 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 ...
openaire +1 more source
Infinitesimal rigidity of hyperquadrics in semi-Euclidean space
International Journal of Geometric Methods in Modern Physics, 2016In 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,
Shin, An Sook, Kim, Hobum, Han, Hyelim
openaire +1 more source
Quaternionic osculating curves in Euclidean and semi-Euclidean space
Journal of Dynamical Systems and Geometric Theories, 2016AbstractIn this study, the osculating curves in Euclidean space E3 and E4, well known in differential geometry, are studied through the instrumentality of quaternions. We inoculate sundry delineations for quaternionic osculating curves in the Euclidean space E3, then we portray the quaternionic osculating curve in E4 as a quaternionic curve whose ...
Yüce, Salim +2 more
openaire +2 more sources
On some class of hypersurfaces of semi-Euclidean spaces
Publicationes Mathematicae Debrecen, 2001The 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 +4 more
openaire +3 more sources
On the quaternionic inclined curves in the semi-Euclidean space E24
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tuna, A, Coken, AC
openaire +3 more sources
ON EULER'S THEOREM IN SEMI-EUCLIDEAN SPACES $\mathbb{E}_{v}^{n+1}$
International Journal of Geometric Methods in Modern Physics, 2011In this paper, we study Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces [Formula: see text]. We obtain an analog of the well-known Euler's theorem for semi-Euclidean hypersurfaces in the semi-Euclidean spaces [Formula: see text].
openaire +1 more source
On a certain class of hypersurfaces in semi-Euclidean spaces
1999Let \(M\) be a hypersurface in a Euclidean space \(E^n\) \((n\geq 3)\) and denote by \(R\) and \(S\) the Riemann curvature tensor and the Ricci tensor of \(M\) respectively. A theorem of Verheyen and Verstraelen gives the following equivalence: \(S\cdot R= 0\Leftrightarrow M\) is a hypercylinder. On the other hand, it is easy to see, that the following
Ezentaş, Rıdvan +2 more
openaire +2 more sources
Some characterizations of partially null curves in semi-Euclidean space
2008Summary: The position vector of all partially null curves in Semi-Euclidean space \(E^{4}_{2}\) is determined. Then, in the same space, characterizations of spherical and inclined partially null curves are given.
TURĞUT, MELİH, YILMAZ, SÜHA
openaire +2 more sources
REFLECTION GROUPS ON SEMI-EUCLİDEAN SPACES
1997In this paper, we give a possible construction for subgroups of semi-ortogonal groups generated by reflection in semi-Euclidean space.
openaire +1 more source
On the Quaternionic Curves in the Semi-Euclidean Space E_4_2
2017In this study, we investigate the semi-real quaternionic curves in the semi-Euclidean space E_4_2. Firstly, we introduce algebraic properties of semi-real quaternions. Then, we give some characterizations of semi-real quaternionic involute-evolute curves in the semi-Euclidean space E42 .
GÜNGÖR, Mehmet, Erisir, Tulay
openaire +1 more source