Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Ergut, Mahmut"'
In the present paper, we discuss the singular minimal surfaces in a Euclidean 3-space R^{3} which are minimal. In fact, such a surface is nothing but a plane, a trivial outcome. However, a non-trivial outcome is obtained when we modify the usual cond
Externí odkaz:
http://arxiv.org/abs/2011.10110
In this paper, we study and classify singular minimal translation surfaces in a Euclidean space of dimension 3 endowed with a certain semi-symmetric (non-)metric connection.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2010.16139
In this paper, we consider the problem of finding the hypersurface M^n in the Euclidean (n+1)-space R^{n+1} that satisfies an equation of mean curvature type, called singular minimal hypersurface equation. Such an equation physically characterizes th
Externí odkaz:
http://arxiv.org/abs/1911.05410
In this paper, we study the problem of finding the affine factorable surfaces in a 3-dimensional isotropic space with prescribed Gaussian (K) and mean (H) curvature. Because the absolute figure two different types of these surfaces appear by permutat
Externí odkaz:
http://arxiv.org/abs/1802.00240
Autor:
Aydin, Muhittin Evren, Ergut, Mahmut
Publikováno v:
International Electronic Journal of Geometry, Volume 10, No 1, Page 21-30 (2017)
The isotropic 3-space \mathbb{I}^{3} is a real affine 3-space endowed with the metric dx^{2}+dy^{2}. In this paper we describe Weingarten and linear Weingarten affine translation surfaces in \mathbb{I}^{3}. Further we classify the affine translation
Externí odkaz:
http://arxiv.org/abs/1611.02595
Autor:
Aydin, Muhittin Evren, Ergut, Mahmut
Publikováno v:
TAMKANG Journal of Mathematics Volume 47, Number 4, 433-443, December 2016
A production function is a mathematical formalization in economics which denotes the relations between the output generated by a firm, an industry or an economy and the inputs that have been used in obtaining it. In this paper, we study the product p
Externí odkaz:
http://arxiv.org/abs/1603.00222
Autor:
Aydin, Muhittin Evren, Ergut, Mahmut
In this paper, we completely classify the homothetical hypersurfaces having null Gauss-Kronocker curvature in a Euclidean (n+1)-space. Several applications to the production functions in economics are also given.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/1512.04737
Autor:
Aydin, M. Evren, Ergut, Mahmut
In this paper, we study the inverse surfaces in 3-dimensional Euclidean space $\mathbb{E}^{3}$. We obtain some results relating Christoffel symbols, the normal curvatures, the shape operators and the third fundamental forms of the inverse surfaces
Externí odkaz:
http://arxiv.org/abs/1205.3562
Autor:
Aydin, M. Evren, Ergut, Mahmut
In this paper, we define the inverse surface of a tangent developable surface with respect to the sphere S_{c}(r) with the center $c\in \mathbb{E}^{3}$ and the radius r in 3-dimensional Euclidean space $\mathbb{E}^{3}$. We obtain the curvatures, the
Externí odkaz:
http://arxiv.org/abs/1205.3561
Publikováno v:
New Trends in Mathematical Sciences. 2018, Vol. 6 Issue 1, p159-165. 7p.
