Browsing by Author "Dursun, Uğur"
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Classification of minimal Lorentzian surfaces in S2(4) (1) with Constant Gaussian and normal curvatures
Dursun, Uğur; Turgay, Nurettin Cenk (Mathematical Society of The Repulic Of China, 201612)In this paper we consider Lorentzian surfaces in the 4dimensional pseudo Riemannian sphere S2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S2(4)(1) whose ... 
Classification of surfaces in a pseudosphere with 2type pseudospherical Gauss map
Bektaş, Burcu; Canfes, Elif Özkara; Dursun, Uğur (WileyV C H Verlag GMBH, 201711)In this article, we study submanifolds in a pseudosphere with 2type pseudospherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S2(4) subset of E2(5) with zero mean curvature ... 
Constant angle surfaces in the Lorentzian warped product manifold I ×f E²1
Dursun, Uğur (Tübitak, 20220914)Let I ×f E²1 be a 3dimensional Lorentzian warped product manifold with the metric g˜ = dt² + f² (t)(dx² − dy² ), where I is an open interval, f is a strictly positive smooth function on I, and E²1 is the Minkowski 2plane. ... 
Constant angle surfaces in the Lorentzian warped product manifold – I × fE²
Dursun, Uğur; Turgay, Nurettin Cenk (Birkhauser, 202106)In this work, we study constant angle spacelike and timelike surfaces in the 3dimensional 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 ... 
Graph surfaces invariant by parabolic screw motions with constant curvature in H²×R
Dursun, Uğur (DergiPark, 20230430)In this work we study vertical graph surfaces invariant by parabolic screw motions with pitch ℓ > 0 and constant Gaussian curvature or constant extrinsic curvature in the product space H² × R. In particular, we determine ... 
Hyperbolic submanifolds with finite type hyperbolic Gauss map
Dursun, Uğur; Yeğin, Rüya (World Scientific Publishing Co. Pte Ltd, 201502)We study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1type hyperbolic Gauss map. Then we prove that a nontotally umbilical hypersurface Mn ... 
Minimal rotational surfaces in the product space Q(?)(2) X S1
Arsan Gürpınar, Güler; Dursun, Uğur (World Scientific Publ Co Pte Ltd, 20180701)In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S1, where Q(2)epsilon denotes either the unit 2sphere S2 or the 2dimensional hyperbolic space H2 of constant curvature 1, according ... 
On pseudoumbilical rotational surfaces with pointwise 1type gauss map in E2(4)
Bektaş, Burcu; Canfes, Elif Özkara; Dursun, Uğur (Istanbul Technical Univ, 20170101)In this work, we study two families of rotational surfaces in the pseudo Euclidean space 1E4 with profile curves lying in 2 dimensional planes. First, we obtain a classification of pseudo umbilical spacelike surfaces and ... 
On spacelike rotational surfaces with pointwise 1type gauss map
Dursun, Uğur (Korean Mathematical Soc, 201501)In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4spade E1(4) with meridian curves lying in 2dimensional spacelike planes and having pointwise 1type Gauss map. We obtain all such surfaces ... 
On spherical submanifolds with finite type spherical Gauss map
Bektaş, Burcu; Dursun, Uğur (Walter De Gruyter GMBH, 20160401)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 doublestruck Sm1 has nonmasssymmetric ... 
On submanifolds of pseudohyperbolic space with 1type pseudohyperbolic gauss map
Dursun, Uğur; Yeğin, Rüya (B. I. Verkin Institute for Low Temperature Physics and Engineering, 2016)In this paper, we examine pseudoRiemannian submanifolds of a pseudohyperbolic space ℍm1 s (1) ⊂ Em s+1 with finite type pseudohyperbolic Gauss map. We begin by providing a characterization of pseudoRiemannian sub ... 
On submanifolds with 2Type PseudoHyperbolic Gauss Map in PseudoHyperbolic space
Dursun, Uğur; Şen, Rüya Yeğin (Birkhauser Verlag AG, 201702)In this paper, we study pseudoRiemannian submanifolds of a pseudohyperbolic space Hsm1(1)⊂Es+1m with 2type pseudohyperbolic Gauss map. We give a characterization of proper pseudoRiemannian hypersurfaces in ... 
Prof. Dr. Uğur DURSUN, FMV Işık Üniversitesi FenEdebiyat Fakültesi'ni anlatıyor
Gültekin, Sadık; Dursun, Uğur; Işık Üniversitesi; Işık Üniversitesi, Fen Edebiyat Fakültesi (NTV, 20170707)Işık Üniversitesi FenEdebiyat Fakültesi Dekan Vekili Prof. Dr. Uğur Dursun’un, 06 Temmuz 2017 tarihinde NTV kanalında yayınlanan “Doğru Tercih” programında Sadık Gültekin’in sorularını cevaplandırdığı videonun erişimidir. 
Pseudospherical submanifolds with 1type pseudospherical gauss map
Bektaş, Burcu; Canfes, Elif Özkara; Dursun, Uğur (Birkhauser Verlag AG, 20160528)In this work, we study pseudoRiemannian submanifolds of a pseudosphere with 1type pseudospherical Gauss map. First, we classify Lorentzian surfaces in a 4dimensional pseudosphere (Formula presented.) with index s, ... 
Rotational Weingarten surfaces in hyperbolic 3space
Dursun, Uğur (Birkhauser, 20200401)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, 20220315)In this work, we study slant curves in the 3dimensional Lorentzian warped product  I× fE², where E² is a 2dimensional Euclidean plane, I⊆ R is an open interval equipped with the metric dt², and f is a positive smooth ... 
Spacelike surfaces in the Minkowski Space E1(4) with pointwise 1type Gauss maps
Dursun, Uğur; Turgay, Nurettin Cenk (Springer, 201906)We first classify spacelike surfaces in the Minkowski space E1(4), de Sitter space S1(3), and hyperbolic space H3 with harmonic Gauss maps. Then we characterize and present a classification of the spacelike surfaces ... 
Spacelike rotational surfaces of elliptic, hyperbolic and parabolic types in Minkowski Space E1(4) with pointwise 1Type Gauss map
Dursun, Uğur; Bektaş, Burcu (Springer, 201406)In this paper, we consider a class of spacelike rotational surfaces in Minkowski space E1(4) with 2dimensional axis. There are three types of rotational surfaces with 2dimensional axis, called rotational surfaces of ... 
Timelike rotational surfaces of elliptic, hyperbolic and parabolic types in minkowski space E1(4) with pointwise 1type 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 E1(4) with 2dimensional axis. There are three types of rotational surfaces with 2dimensional axis, called rotational surfaces of ...