Results 271 to 280 of about 94,727 (290)

On a certain class of hypersurfaces in semi-Euclidean spaces

1999
Let \(M\) 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, Arslan, Kadri, Deszcz, Ryszard   +2 more
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On the Quaternionic Curves in the Semi-Euclidean Space E_4_2

2017
In 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
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ON EULER'S THEOREM IN SEMI-EUCLIDEAN SPACES $\mathbb{E}_{v}^{n+1}$

International Journal of Geometric Methods in Modern Physics, 2011
In 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].
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REFLECTION GROUPS ON SEMI-EUCLİDEAN SPACES

1997
In this paper, we give a possible construction for subgroups of semi-ortogonal groups generated by reflection in semi-Euclidean space.
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Some characterizations of partially null curves in semi-Euclidean space

2008
Summary: 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
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Special Bertrand curves in semi-Euclidean space \(E^4_2\) and their characterizations

2016
Summary: In [Yokohama Math. J. 50, No. 1--2, 41--58 (2003; Zbl 1066.53007)] \textit{H. Matsuda} and \textit{S. Yorozu} proved that there is no special Bertrand curves in \(E^n (n>3)\) and they defined a new kind of Bertrand curves called (\(N,B_2)\)-type Bertrand curves in 4-dimensional Euclidean space.
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Evolution of quaternionic curve in the semi‐Euclidean space E24

Mathematical Methods in the Applied Sciences, 2021
Alperen Kızılay, Önder Gökmen Yıldız, Osman Zeki Okuyucu   +2 more
exaly  

Minimal homothetical lightlike hypersurfaces of semi-euclidean spaces

All lightlike hypersurfaces of a semi-Euclidean space R-q(m+2) that can locally be written as the product of functions of one variable are parametrized and shown that they are minimal.
Saglam, Derya, Sabuncuoglu, Arif
openaire   +1 more source

A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space

Proceedings of the Japan Academy Series A: Mathematical Sciences, 2009
Liang Chen, Shyuichi Izumiya
exaly  

On $${\left(1,3 \right) }$$ 1 , 3 -Cartan null Bertrand curves in semi-Euclidean 4-space with index 2

Journal of Geometry, 2015
Ali Uçum, Makoto Sakaki, Uçum Ali
exaly