activity
20162022
most citedOn space-like generalized constant ratio hypersufaces in Minkowski spaces

7 citations · 11 across the 7 of their papers we have counts for

collaborators

8 papers

math.GM2022

Surfaces of coordinate finite type in the Lorentz-Minkowski 3-space

Hassan Al-Zoubi, Alev Kelleci, Tareq Hamadneh

In this article, we study the class of surfaces of revolution in the 3-dimensional Lorentz-Minkowski space with nonvanishing Gauss curvature whose position vector x satisfies the c…

math.DG2020★ 4 cited

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…

math.GM2019

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…

math.GM2018

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…

math.DG2018

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…

math.DG2018

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.

math.DG2017

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…

math.DG2016★ 7 cited

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…