7 citations · 12 across the 5 of their papers we have counts for
7 papers · 1 filter
On generalized constant ratio surfaces with higher codimension
Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt
In this paper, we study generalized constant ratio surfaces in the Euclidean 4-space. We also obtain a classifications of constant slope surfaces.
Affine factorable surfaces in isotropic spaces
Muhittin Evren Aydin, Ayla Erdur, Mahmut Ergut
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 ab…
Complete classification of surfaces with a canonical principal direction in the Minkowski 3-space
Alev Kelleci, Mahmut Ergüt, Nurettin Cenk Turgay
In this paper, we characterize and classify all surfaces endowed with canonical principal direction relative to a space-like and light-like, constant direction in Minkowski 3-space…
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…
On space-like generalized constant ratio hypersufaces in Minkowski spaces
Mahmut Ergüt, Alev Kelleci, Nurettin Cenk Turgay
A hypersurface in a Euclidean space is said to be a generalized constant ratio (GCR) hypersurface if the tangential part of its position vector is one of its pri…
On Inverse Surfaces in Euclidean 3-Space
M. Evren Aydin, Mahmut Ergut
In this paper, we study the inverse surfaces in 3-dimensional Euclidean space . We obtain some results relating Christoffel symbols, the normal curvatures, the shap…
The inverse surfaces of tangent developables with respect to s_{c}(r)
M. Evren Aydin, Mahmut Ergut
In this paper, we define the inverse surface of a tangent developable surface with respect to the sphere S_{c}(r) with the center and the radius r in 3-dimens…