Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Mutaz Al-Sabbagh"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 16062-16072 (2023)
A surface $ \mathcal{M}^{2} $ with position vector $ r = r(s, t) $ is called a Hasimoto surface if the relation $ r_{t} = r_{s} \wedge r_{ss} $ holds. In this paper, we first define the Beltrami-Laplace operator according to the three fundamental for
Externí odkaz:
https://doaj.org/article/c8ce79a507b44594b567d8e5b21784d8
Publikováno v:
Journal of Mathematics, Vol 2022 (2022)
Multivariate polynomials of finite degree can be expanded into Bernstein form over a given simplex domain. The minimum and maximum Bernstein control points optimize the polynomial curve over the same domain. In this paper, we address methods for comp
Externí odkaz:
https://doaj.org/article/1746ed02e8db4154916b9d363207df9e
Publikováno v:
Symmetry, Vol 15, Iss 2, p 300 (2023)
In the 3-dimensional Euclidean space E3, a quadric surface is either ruled or of one of the following two kinds z2=as2+bt2+c,abc≠0 or z=a2s2+b2t2,a>0,b>0. In the present paper, we investigate these three kinds of surfaces whose Gauss map N satisfie
Externí odkaz:
https://doaj.org/article/7efa37c9e95948dfbd411e4eced511fb
Publikováno v:
Axioms, Vol 11, Iss 7, p 326 (2022)
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 ΔIIIx=Ax, where ΔIII is the Laplace operator regarding the third f
Externí odkaz:
https://doaj.org/article/de3859379bc44ca7bd6808c213ccfe6f
Publikováno v:
WSEAS TRANSACTIONS ON MATHEMATICS. 20:729-735
In this paper, we firstly investigate some relations regarding the first and the second Laplace operators corresponding to the third fundamental form III of a surface in the Euclidean space E3. Then, we introduce the finite Chen type surfaces of revo
Publikováno v:
ICIT
In this paper, we continue the classification of coordinate finite type Gauss map surfaces in the 3-dimensional Euclidean space ${\mathbb{E}^3}$. To do this, we investigate an important family of surfaces, namely, tubes in ${\mathbb{E}^3}$ of which i
Publikováno v:
Bull. Belg. Math. Soc. Simon Stevin 26, no. 2 (2019), 177-187
In this paper, we study quadric surfaces in the 3-dimensional Euclidean space which are of finite $III$-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We show that helicoids and sphere