A hypersurfaces of revolution family in the five-dimensional pseudo-Euclidean space E 2 5

Y Li, E Güler - Mathematics, 2023 - mdpi.com
We present a family of hypersurfaces of revolution distinguished by four parameters in the
five-dimensional pseudo-Euclidean space E 2 5. The matrices corresponding to the …

Twisted Hypersurfaces in Euclidean 5-Space

Y Li, E Güler - Mathematics, 2023 - mdpi.com
The twisted hypersurfaces x with the (0, 0, 0, 0, 1) rotating axis in five-dimensional Euclidean
space E 5 is considered. The fundamental forms, the Gauss map, and the shape operator of …

Hypersurfaces of revolution family supplying in pseudo-Euclidean space

Y Li, E Güler - AIMS Mathematics, 2023 - aimspress.com
In this study, we introduce a family of hypersurfaces of revolution characterized by six
parameters in the seven-dimensional pseudo-Euclidean space ${\mathbb {E}} _ {3}^{7} …

Helicoidal surfaces with ΔJr = Ar in 3-dimensional Euclidean space.

B Senoussi, M Bekkar - Studia Universitatis Babes-Bolyai …, 2015 - search.ebscohost.com
Helicoidal surfaces with ∆Јг = Аг in 3-dimensional Euclidean space Page 1 Stud. Univ.
Babes-Bolyai Math. 60(2015), No. 3, 437–448 Helicoidal surfaces with ∆Јг = Аг in 3-dimensional …

Tubes of finite Chen-type

H Al-Zoubi, KM Jaber, S Stamatakis - arXiv preprint arXiv:1902.08247, 2019 - arxiv.org
In this paper, we consider surfaces in the 3-dimensional Euclidean space E3 which are of
finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the …

Translation surfaces in the 3-dimensional space satisfying Δ III ri= μ iri

M Bekkar, B Senoussi - Journal of Geometry, 2012 - Springer
In this paper we study the translation surfaces in the 3-dimensional Euclidean and Lorentz-
Minkowski space under the condition Δ^ III r_ i= μ _ i r_ i, μ _ i ∈ R, where Δ III denotes the …

Classification of surfaces of coordinate finite type in the Lorentz–Minkowski 3-Space

H Al-Zoubi, AK Akbay, T Hamadneh, M Al-Sabbagh - Axioms, 2022 - mdpi.com
In this paper, we define surfaces of revolution without parabolic points in three-dimensional
Lorentz–Minkowski space. Then, we classify this class of surfaces under the condition Δ III …

[PDF][PDF] Ruled surfaces of finite Chen-type

H Al-Zoubi, S Al-Zu'bi, S Stamatakis, H Almimi - J. Geom. Graph, 2018 - researchgate.net
Ruled Surfaces of Finite Chen-Type Page 1 Journal for Geometry and Graphics Volume 22 (2018),
No. 1, 15 20. Ruled Surfaces of Finite Chen-Type Hassan Al-Zoubi1, Shadi Al-Zu'bi2 …

Birotational hypersurface and the second Laplace-Beltrami operator in the four dimensional Euclidean space

E Güler, Y Yayli… - Turkish Journal of …, 2022 - journals.tubitak.gov.tr
We consider the birotational hypersurface $\mathbf {x (} u, v, w\mathbf {)} $ with the second
Laplace-Beltrami operator in the four dimensional Euclidean space ${\mathbb {E}}^{4}. $ We …

Translation surfaces of coordinate finite type

H Al-Zoubi, S Stamatakis, W Al-Mashaleh… - arXiv preprint arXiv …, 2019 - arxiv.org
We consider translation surfaces in the 3-dimensional Euclidean space which are of
coordinate finite type with respect to the third fundamental form $ III $, ie their position vector …