N. Turgay

activity

20132026

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

7 citations · 25 across the 26 of their papers we have counts for

collaborators

31 papers

math.CA2026

A proof of Karp's conjecture on the zeros of Toeplitz determinants of rising factorial series

Henry Zweiman

In 2012, D. Karp studied a family of polynomials constructed from Polya frequency sequences and conjectured that all their zeros are real and negative. We prove this conjecture for…

math.DG2025

On Time-Like Class A Surfaces of a Warped Space-time with Lorentzian Fiber

Furkan Kaya, Nurettin Cenk Turgay

In this paper, we consider time-like surfaces in the static space-time given by the warped product $L_{1}^{3} (c)_{f} \times (I, d z^{2})$ , where $L_{1}^{3} (c)$ denotes the Lore…

math.DG2025

Almost Ricci Solitons on Class $A$ Hypersurfaces of Product Spaces

Ahmet Umut Çoraplı, Burcu Bektaş Demirci, Nurettin Cenk Turgay

In this paper, we study hypersurfaces in the product spaces $Q_{ε}^{3} \times R$ for which the tangential component $T$ of the vector field $\frac{\partial}{\partial…

math.DG2025

Codimensions-Two Submanifolds Contained in the Light-like Hypercylinder $LC^{n} \times R$

Ali Gineli, Hazal Yürük, Nurettin Cenk Turgay

In this paper, we investigate space-like codimension-two submanifolds of the Lorentz-Minkowski space $E_{1}^{n + 2}$ constrained to lie on the light-like hypercylinder $\mathc…

math.DG2024

Surfaces in Robertson-Walker Space-Times with Positive Relative Nullity

Burcu Bektaş Demirci, Nurettin Cenk Turgay

In this article, we study space-like and time-like surfaces in a Robertson-Walker space-time,, denoted by $L_{1}^{4} (f, c)$ , having positive relative nullity. First, we give the necessa…

math.DG2024

Biconservative Surfaces in Robertson-Walker Spaces

Nurettin Cenk Turgay, Rüya Yeğin Şen

In this paper, we mainly focus on space-like PMCV surfaces in Robertson-Walker spacetimes. First, we derive certain geometrical properties of biconservative surfaces in the Roberts…

math.DG2024

On Space-like Class $A$ Surfaces in Robertson-Walker Space Times

Burcu Bektaş Demirci, Nurettin Cenk Turgay, Rüya Yeğin Şen

In this article, we consider space-like surfaces in Robertson-Walker Space times $L_{1}^{4} (f, c)$ with comoving observer field $\frac{\partial}{\partial t}$ . We study some problems rel…

math.DG2024

Some Classifications for Gauss Map of Tubular Hypersurfaces in $E_{1}^{4}$ Concerning Linearized Operators $L_{k}$

Ahmet Kazan, Mustafa Altın, Nurettin Cenk Turgay

In this study, we deal with the Gauss map of tubular hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linearized operators $L_{1}$ (Cheng-Yau) and $\…

math.GM2024

Rotational hypersufaces in $E_{1}^{4}$ with generalized $L_{k}$ 1-type Gauss map

Ahmet Kazan, Mustafa Altin, Nurettin Cenk Turgay

In this paper, we study the Gauss map of rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linear second order differential operators $L_{1}$ and $L_{2}$ …

math.DG2022

Biconservative surfaces in the $4$ -dimensional Euclidean sphere

Simona Nistor, Cezar Oniciuc, Nurettin Cenk Turgay +1

In this paper, we study biconservative surfaces with parallel normalized mean curvature vector field ( $P N M C$ ) in the $4$ -dimensional unit Euclidean sphere $S^{4}$ . First, we…

math.DG2021

Rotational hypersurfaces family satisfying $L_{n - 3} G = A G$ in $E^{n}$

Erhan Güler, Nurettin Cenk Turgay

In this paper, we investigate rotational hypersurfaces family in $n$ -dimensional Euclidean space $E^{n}$ . Our focus is on studying the Gauss map $G$ of this f…

math.DG2019

Quasi--minimal surfaces of pseudo--Riemannian space forms with positive relative nullity

Burcu Bektaş Demirci, Nurettin Cenk Turgay

In this paper, we consider surfaces in 4--dimensional pseudo--Riemannian space--forms with index 2. First, we obtain some of geometrical properties of such surfaces considering the…

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 $R_{2}^{4} (c)$ of dimension 4, index 2 and constant curvature, where $c \in {0, - 1, 1}$ . First, we ob…

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

On biconservative surfaces in Euclidean spaces

Rüya Yeğin Şen, Nurettin Cenk Turgay

In this paper, we study biconservative surfaces with parallel normalized mean curvature vector in $E^{4}$ . We obtain complete local classification in $E^{4}$ for a bi…

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.DG2017

Biconservative submanifolds in $S^{n} \times R$ and $H^{n} \times R$

Fernando Manfio, Nurettin Cenk Turgay, Abhitosh Upadhyay

In this paper, we study biconservative submanifolds in $S^{n} \times R$ and $H^{n} \times R$ with parallel mean curvature vector field and co-dime…

math.DG2016★ 4 cited

General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

Yana Aleksieva, Velichka Milousheva, Nurettin Cenk Turgay

We define general rotational surfaces of elliptic and hyperbolic type in the pseudo-Euclidean 4-space with neutral metric which are analogous to the general rotational surfaces of…

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 $E^{n + 1}$ is said to be a generalized constant ratio (GCR) hypersurface if the tangential part of its position vector is one of its pri…

math.DG2016

A Classification of Biconservative Hypersurfaces in a Pseudo-Euclidean Space

Abhitosh Upadhyay, Nurettin Cenk Turgay

In this paper, we study biconservative hypersurfaces of index 2 in $E_{2}^{5}$ . We give the complete classification of biconservative hypersurfaces with diagonalizable shap…

math.DG2015★ 6 cited

Quasi-minimal Lorentz Surfaces with Pointwise 1-type Gauss Map in Pseudo-Euclidean 4-Space

Velichka Milousheva, Nurettin Cenk Turgay

A Lorentz surface in the four-dimensional pseudo-Euclidean space with neutral metric is called quasi-minimal if its mean curvature vector is lightlike at each point. In the present…

math.DG2015

Classification of minimal Lorentzian surfaces in $S_{2}^{4} (1)$ with constant Gaussian and normal curvatures

Uğur Dursun, Nurettin Cenk Turgay

In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo-Riemannian sphere $S_{2}^{4} (1)$ with index 2 of curvature one. We obtain the complete classification…

math.DG2015★ 2 cited

Generalized constant ratio hypersurfaces in Euclidean spaces

Nurettin Cenk Turgay

In this paper, we study generalized constant ratio (GCR) hypersurfaces in Euclidean spaces. We mainly focus on the hypersurfaces in $E^{4}$ . First, we deal with $δ (2)$ -ideal…

A proof of Karp's conjecture on the zeros of Toeplitz determinants of rising factorial series

On Time-Like Class A Surfaces of a Warped Space-time with Lorentzian Fiber

Almost Ricci Solitons on Class A Hypersurfaces of Product Spaces

Codimensions-Two Submanifolds Contained in the Light-like Hypercylinder LCn×R

Surfaces in Robertson-Walker Space-Times with Positive Relative Nullity

Biconservative Surfaces in Robertson-Walker Spaces

On Space-like Class A Surfaces in Robertson-Walker Space Times

Some Classifications for Gauss Map of Tubular Hypersurfaces in E14​ Concerning Linearized Operators Lk​

Rotational hypersufaces in E14​ with generalized Lk​ 1-type Gauss map

Biconservative surfaces in the 4-dimensional Euclidean sphere

Rotational hypersurfaces family satisfying Ln−3​G=AG in En

Quasi--minimal surfaces of pseudo--Riemannian space forms with positive relative nullity

Biconservative quasi-minimal immersions into semi-Euclidean spaces

On surfaces endowed with canonical principal direction in Euclidean spaces

On generalized constant ratio surfaces with higher codimension

On biconservative surfaces in Euclidean spaces

Complete classification of surfaces with a canonical principal direction in the Minkowski 3-space

Biconservative submanifolds in Sn×R and Hn×R

General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

On space-like generalized constant ratio hypersufaces in Minkowski spaces

A Classification of Biconservative Hypersurfaces in a Pseudo-Euclidean Space

Quasi-minimal Lorentz Surfaces with Pointwise 1-type Gauss Map in Pseudo-Euclidean 4-Space

Classification of minimal Lorentzian surfaces in S24​(1) with constant Gaussian and normal curvatures

Generalized constant ratio hypersurfaces in Euclidean spaces

Almost Ricci Solitons on Class $A$ Hypersurfaces of Product Spaces

Codimensions-Two Submanifolds Contained in the Light-like Hypercylinder $LC^{n} \times R$

On Space-like Class $A$ Surfaces in Robertson-Walker Space Times

Some Classifications for Gauss Map of Tubular Hypersurfaces in $E_{1}^{4}$ Concerning Linearized Operators $L_{k}$

Rotational hypersufaces in $E_{1}^{4}$ with generalized $L_{k}$ 1-type Gauss map

Biconservative surfaces in the $4$ -dimensional Euclidean sphere

Rotational hypersurfaces family satisfying $L_{n - 3} G = A G$ in $E^{n}$

Biconservative submanifolds in $S^{n} \times R$ and $H^{n} \times R$

Classification of minimal Lorentzian surfaces in $S_{2}^{4} (1)$ with constant Gaussian and normal curvatures