Işık Yazarı "Dursun, Uğur" FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics İçin Listeleme
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Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures
Dursun, Uğur; Turgay, Nurettin Cenk (Mathematical Society of The Repulic Of China, 2016-12)In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose ... -
Classification of surfaces in a pseudo-sphere with 2-type pseudo-spherical Gauss map
Bektaş, Burcu; Canfes, Elif Özkara; Dursun, Uğur (Wiley-V C H Verlag GMBH, 2017-11)In this article, we study submanifolds in a pseudo-sphere with 2-type pseudo-spherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S-2(4) subset of E-2(5) with zero mean curvature ... -
Constant angle surfaces in the Lorentzian warped product manifold – I × fE²
Dursun, Uğur; Turgay, Nurettin Cenk (Birkhauser, 2021-06)In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold - I× fE² with the metric g~ = - d t²+ f²(t) (d x²+ d y²) , where I is an open interval, f is ... -
Hyperbolic submanifolds with finite type hyperbolic Gauss map
Dursun, Uğur; Yeğin, Rüya (World Scientific Publishing Co. Pte Ltd, 2015-02)We study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1-type hyperbolic Gauss map. Then we prove that a non-totally umbilical hypersurface M-n ... -
Minimal rotational surfaces in the product space Q(?)(2) X S-1
Arsan Gürpınar, Güler; Dursun, Uğur (World Scientific Publ Co Pte Ltd, 2018-07-01)In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S-1, where Q(2)epsilon denotes either the unit 2-sphere S-2 or the 2-dimensional hyperbolic space H-2 of constant curvature 1, according ... -
On spacelike rotational surfaces with pointwise 1-type gauss map
Dursun, Uğur (Korean Mathematical Soc, 2015-01)In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-spade E-1(4) with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces ... -
On spherical submanifolds with finite type spherical Gauss map
Bektaş, Burcu; Dursun, Uğur (Walter De Gruyter GMBH, 2016-04-01)Chen and Lue (2007) initiated the study of spherical submanifolds with finite type spherical Gauss map. In this paper, we firstly prove that a submanifold Mn of the unit sphere double-struck Sm-1 has non-mass-symmetric ... -
On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map
Dursun, Uğur; Yeğin, Rüya (B. I. Verkin Institute for Low Temperature Physics and Engineering, 2016)In this paper, we examine pseudo-Riemannian submanifolds of a pseudo-hyperbolic space ℍm-1 s (-1) ⊂ Em s+1 with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub- ... -
On submanifolds with 2-Type Pseudo-Hyperbolic Gauss Map in Pseudo-Hyperbolic space
Dursun, Uğur; Şen, Rüya Yeğin (Birkhauser Verlag AG, 2017-02)In this paper, we study pseudo-Riemannian submanifolds of a pseudo-hyperbolic space Hsm-1(-1)⊂Es+1m with 2-type pseudo-hyperbolic Gauss map. We give a characterization of proper pseudo-Riemannian hypersurfaces in ... -
Pseudo-spherical submanifolds with 1-type pseudo-spherical gauss map
Bektaş, Burcu; Canfes, Elif Özkara; Dursun, Uğur (Birkhauser Verlag AG, 2016-05-28)In this work, we study pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify Lorentzian surfaces in a 4-dimensional pseudo-sphere (Formula presented.) with index s, ... -
Rotational Weingarten surfaces in hyperbolic 3-space
Dursun, Uğur (Birkhauser, 2020-04-01)We study rotational Weingarten surfaces in the hyperbolic space H3(- 1) with the principal curvatures κ and λ satisfying a certain functional relation κ= F(λ) for a given continuous function F. We determine profile curves ... -
Slant curves in the Lorentzian warped product manifold - I× fE²
Dursun, Uğur (Birkhauser, 2022-03-15)In this work, we study slant curves in the 3-dimensional Lorentzian warped product - I× fE², where E² is a 2-dimensional Euclidean plane, I⊆ R is an open interval equipped with the metric dt², and f is a positive smooth ... -
Space-like surfaces in the Minkowski Space E-1(4) with pointwise 1-type Gauss maps
Dursun, Uğur; Turgay, Nurettin Cenk (Springer, 2019-06)We first classify space-like surfaces in the Minkowski space E-1(4), de Sitter space S-1(3), and hyperbolic space H-3 with harmonic Gauss maps. Then we characterize and present a classification of the space-like surfaces ... -
Spacelike rotational surfaces of elliptic, hyperbolic and parabolic types in Minkowski Space E-1(4) with pointwise 1-Type Gauss map
Dursun, Uğur; Bektaş, Burcu (Springer, 2014-06)In this paper, we consider a class of spacelike rotational surfaces in Minkowski space E-1(4) with 2-dimensional axis. There are three types of rotational surfaces with 2-dimensional axis, called rotational surfaces of ... -
Timelike rotational surfaces of elliptic, hyperbolic and parabolic types in minkowski space E-1(4) with pointwise 1-type gauss map
Bektaş, Burcu; Dursun, Uğur (University of Nis, 2015)In this work, we focus on a class of timelike rotational surfaces in Minkowski space E-1(4) with 2-dimensional axis. There are three types of rotational surfaces with 2-dimensional axis, called rotational surfaces of ...