6 citations · 33 across the 39 of their papers we have counts for
8 papers · 1 filter
Constant curvature factorable surfaces in 3-dimensional isotropic space
Muhittin Evren Aydin
In this paper, we study factorable surfaces in a 3-dimensional isotropic space. We classify such surfaces with constant isotropic Gaussian (K) and mean curvature (H). We provide a…
Affine translation surfaces in the isotropic 3-space
Muhittin Evren Aydin, Mahmut Ergut
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 s…
Affine translation hypersurfaces in Euclidean and isotropic spaces
Muhittin Evren Aydin
In this paper, we extend the notion of affine translation surfaces introduced by Liu and Yu (Proc. Japan Acad. Ser. A Math. Sci. 89, 111--113, 2013) in a Euclidean space R^{3} to h…
Certain classifications on surfaces of revolution in a semi-isotropic space
Muhittin Evren Aydin
A semi-isotropic space is a real affine 3-space endowed with the non-degenerate metric dx^{2}-dy^{2}. The main purpose of this paper is to describe the surfaces of revolution in th…
Constant curvature surfaces in a pseudo-isotropic space
Muhittin Evren Aydin
In this study, we deal with the local structure of curves and surfaces immersed in a pseudo-isotropic space I_{p}^{3} that is a particular Cayley-Klein space. We provide the formul…
Linear Weingraten factorable surfaces in isotropic spaces
Muhittin Evren Aydin, Alper Osman Ogrenmis
In this paper, we deal with the linear Weingarten factorable surfaces in the isotropic 3-space I^{3} satisfying the relation aK+bH=c, where K is the relative curvature and H the is…
Isotropic geometry of graph surfaces associated with product production functions in economics
Muhittin Evren Aydin, Mahmut Ergut
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…
Classification results on surfaces in the isotropic 3-space
Muhittin Evren Aydin
The isotropic 3-space I^3 which is one of the Cayley--Klein spaces is obtained from the Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In…