Browsing by Author "Bayram, Bengü Kılıç"
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Coordinate finite type rotational surfaces in euclidean spaces
Bayram, Bengü Kılıç; Arslan, Kadri; Önen, Nergiz; Bulca, Betül (Univ Nis, 2014)Submanifolds of coordinate finitetype were introduced in [10]. A submanifold of a Euclidean space is called a coordinate finitetype submanifold if its coordinate functions are eigenfunctions of Delta. In the present study ... 
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 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 ... 
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 ... 
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. ...