Yazar "Bulca, Betül" için listeleme
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Canal surfaces in 4-dimensional euclidean space
Bulca, Betül; Arslan, Kadri; Bayram, Bengü; Öztürk, Günay (2017)In this paper, we study canal surfaces imbedded in 4-dimensional EuclideanspaceE4. We investigate these surface curvature properties with respect to thevariation of the normal vectors and ellipse of curvature. Some special ... -
Coordinate finite type rotational surfaces in euclidean spaces
Bayram, Bengü Kılıç; Arslan, Kadri; Önen, Nergiz; Bulca, Betül (Univ Nis, 2014)Submanifolds of coordinate finite-type were introduced in [10]. A submanifold of a Euclidean space is called a coordinate finite-type submanifold if its coordinate functions are eigenfunctions of Delta. In the present study ... -
Focal representation of k-slant 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 k-slant helix gamma in Em+1 is a (generic) regular curve whose unit normal vector V-k 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 generalized spherical surfaces in euclidean spaces
Bayram, Bengü; Arslan, Kadri; Bulca, Betül (Honam Mathematical Soc, 2017)In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized spherical curves in Euclidean (n + 1) space En+1. Further, we introduce some kind of generalized ... -
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 monge-ampere 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 Monge-Ampere 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 4-dimensional 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 3-dimensional Euclidean space E-3. Further, we consider translation surfaces in the 4-dimensional Euclidean ... -
Rotational embeddings in $Bbb{E}^4$ with pointwise 1-type 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 (non-round) sphere ... -
Rotational embeddings in E-4 with pointwise 1-type gauss map
Arslan, Kadri; Bayram, Bengü Kılıç; Bulca, Betül; Kim, Young Ho; Murathan, Cengizhan; Öztürk, Günay (Scientific Technical Research Councıl Turkey-Tubitak, 2011)In the present article we study the rotational embedded surfaces in E-4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E-4. The Otsuki (non-round) sphere in E-4 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, ... -
Rotational surfaces in higher dimensional euclidean spaces
Arslan, Kadri; Bayram, Bengü; Bulca, Betül; Kosova, Didem; Öztürk, Günay (Springer-Verlag Italia Srl, 2018)In the present study we consider the generalized rotational surfaces in Euclidean m-space E-m. Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in E-m. Further, we obtained ... -
Spherical product surfaces in e-4
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 E-4. Otsuki rotational surfaces and Ganchev-Milousheva rotational surfaces are the ... -
Superconformal ruled surfaces in E-4
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 E-4. Further, the curvature properties of these surface are investigated ... -
Tensor product surfaces with pointwise 1-type 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 e-4 with pointwise 1-type gauss map
Arslan, Kadri; Bulca, Betül; Bayram, Bengü Kılıç; Kim, Young Ho; Murathan, Cengizhan; Öztürk, Günay (Scientific Publ-India, 2011)In this article we investigate Vranceanu rotation surfaces with pointwise 1-type Gauss map in Euclidean 4-space E-4. We show that a Vranceanu rotation surface M has harmonic Gauss map if and only if M is a part of a plane. ...
