5 papers
Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space
Alev Kelleci, Luiz C. B. da Silva
We consider the extrinsic geometry of surfaces in simply isotropic space, a three-dimensional space equipped with a rank 2 metric of index zero. Since the metric is degenerate, a s…
Biconservative quasi-minimal immersions into semi-Euclidean spaces
Rüya Yeğin Şen, Alev Kelleci, Nurettin Cenk Turgay +1
In this paper we study biconservative immersions into the semi-Riemannian space form of dimension 4, index 2 and constant curvature, where . First, we ob…
Natural mates of non-null Frenet curves in Minkowski 3-space
Alev Kelleci
In this paper, we give the definition of the natural mate of a non-null Frenet curve in Minkowski 3-spaces. The main purpose of this paper is to prove some relationships between a…
On surfaces endowed with canonical principal direction in Euclidean spaces
Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt
In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. We obtain the complete classification of surfaces endowed…
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.