Browsing by Author "Öztürk, Günay"
Now showing items 115 of 15

Canal surfaces in 4dimensional euclidean space
Bulca, Betül; Arslan, Kadri; Bayram, Bengü; Öztürk, Günay (2017)In this paper, we study canal surfaces imbedded in 4dimensional EuclideanspaceE4. We investigate these surface curvature properties with respect to thevariation of the normal vectors and ellipse of curvature. Some special ... 
Focal representation of kslant helices in Em+1
Öztürk, Günay; Bulca, Betül; Arslan, Kadri; Bayram, Bengü (De Gruyter Poland Sp Zoo, 2015)The focal representation of a generic regular curve gamma in Em+1 consists of the centers of the osculating hyperplanes. A kslant helix gamma in Em+1 is a (generic) regular curve whose unit normal vector Vk makes a ... 
Generalized rotation surfaces in E^4
Arslan, Kadri; Bayram, Bengü Kılıç; Bulca, Betül; Öztürk, Günay (Springer Basel AG, 2012)In the present study we consider generalized rotation surfaces imbedded in an Euclidean space of four dimensions. We also give some special examples of these surfaces in . Further, the curvature properties of these surfaces ... 
On canal surfaces in 3
In this paper we deal with the geometric properties of canal surfaces in $Bbb{E}^ 3$. Further, the first and second fundamental form of canal surfaces are presented. By the use of the second fundamental form, the Gaussian ... 
On spherical product surfaces in E3
In the present study we consider spherical product surfaces X = α⊗β of two 2D curves in E3. We prove that if a spherical product surface patch X = α⊗β has vanishing Gaussian curvature K (i.e. a flat surface) then either α ... 
On the solution of the mongeampere equation z(xx)z(yy)z(xy)(2)=f(x, y) with quadratic right side
Aminov, Yu.; Arslan, Kadri; Bayram, Bengü Kılıç; Bulca, Betül; Murathan, Cengizhan; Öztürk, Günay (B Verkin Inst Low Temperature Physics & Engineering, 2011)For the MongeAmpere equation Z(xx)Z(yy)  Z(xy)(2) = b(20)(x2)+b(11).xy+b(02y)(2)+ b(00) we consider the question on the existence of a solution Z(x, y) in the class of polynomials such that Z = Z(x, y) is a graph of a ... 
On translation surfaces in 4dimensional Euclidean space
Arslan, Kadri; Bayram, Bengü; Bulca, Betül; Öztürk, Günay (Univ Tartu Press, 2016)We consider translation surfaces in Euclidean spaces. Firstly, we give some results of translation surfaces in the 3dimensional Euclidean space E3. Further, we consider translation surfaces in the 4dimensional Euclidean ... 
On tzitzeica curves in euclidean 3space e3
Bayram, Bengü; Tunç, Emrah; Arslan, Kadri; Öztürk, Günay (Univ Nis, 2018)In this study, we consider Tzitzeica curves (Tzcurves) in a Euclidean 3space E3. We characterize such curves according to their curvatures. We show that there is no Tzcurve with constant curvatures (Wcurves). We ... 
Rotational embeddings in $Bbb{E}^4$ with pointwise 1type gauss map
In the present article we study the rotational embedded surfaces in $Bbb{E}^4$ . The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in $Bbb{E}^4$ . The Otsuki (nonround) sphere ... 
Rotational embeddings in E4 with pointwise 1type gauss map
Arslan, Kadri; Bayram, Bengü Kılıç; Bulca, Betül; Kim, Young Ho; Murathan, Cengizhan; Öztürk, Günay (Scientific Technical Research Councıl TurkeyTubitak, 2011)In the present article we study the rotational embedded surfaces in E4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E4. The Otsuki (nonround) sphere in E4 is one ... 
Rotational submanifolds in Euclidean spaces
Arslan, Kadri; Bayram, Bengü; Bulca, Betül; Öztürk, Günay (World Scientific Publ CO PTE LTD, 2019)The rotational embedded submanifold was first studied by Kuiper as a submanifold in En+d The generalized Beltrami submanifolds and toroidal submanifold are the special examples of these kind of submanifolds. In this paper, ... 
Spherical product surfaces in e4
Bulca, Betül; Arslan, Kadri; Bayram, Bengü (Kılıç); Öztürk, Günay (Ovidius Univ Press, 2012)In the present study we calculate the coefficients of the second fundamental form and curvature ellipse of spherical product surfaces in E4. Otsuki rotational surfaces and GanchevMilousheva rotational surfaces are the ... 
Superconformal ruled surfaces in E4
Bayram, Bengü; Bulca, Betül; Arslan, Kadri; Öztürk, Günay (Univ Osijek, 2009)In the present study we consider ruled surfaces imbedded in a Euclidean space of four dimensions. We also give some special examples of ruled surfaces in E4. Further, the curvature properties of these surface are investigated ... 
Tensor product surfaces with pointwise 1type gauss map
Arslan, Kadri; Bulca, Betül; Bayram, Bengü Kılıç; Kim, Young Ho; Murathan, Cengizhan; Öztürk, Günay (Korean Mathematical Soc, 2011)Tensor product immersions of a given Riemannian manifold was initiated by B.Y. Chen. In the present article we study the tensor product surfaces of two Euclidean plane curves. We show that a tensor product surface M of a ... 
Vranceanu surface in e4 with pointwise 1type gauss map
Arslan, Kadri; Bulca, Betül; Bayram, Bengü Kılıç; Kim, Young Ho; Murathan, Cengizhan; Öztürk, Günay (Scientific PublIndia, 2011)In this article we investigate Vranceanu rotation surfaces with pointwise 1type Gauss map in Euclidean 4space E4. We show that a Vranceanu rotation surface M has harmonic Gauss map if and only if M is a part of a plane. ...