Browsing by Author "Arslan, Kadri"
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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 ... 
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 ... 
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 ... 
kTipinde eğriler ve altmanifoldlar
Kılıç, Bengü (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 1997)Bu çalışmada, çarpım altmanifoldlar ve onların tipleri gözönüne alınmıştır. Bazı yüzeylerin Riemann çarpımı alınarak elde edilen yüzeylerin (veya manifoldların) tipleri belirlenmiştir. Bazı yüzeyler birim çember etrafında ... 
On a class of surfaces in the Euclidean space
Özgür, Cihan; Arslan, Kadri; Murathan, Cengizhan (2002)In this study we consider surfaces in the Euclidean space E2+d satisfying the conditions Undefined control sequence \centerdot h = LhQ(g,h) and Undefined control sequence \centerdot h = LAHQ^(AH,h). 
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 semiparallel and weylsemiparallel hypersurfaces of kaehler manifolds
Özgür, Cihan; Murathan, Cengizhan; Arslan, Kadri (Kyungpook National University, 2009)We study on semiparallel and Weyl semiparallel Sasakian hypersurfaces of Kaehler manifolds. We prove that a (2n + 1)dimensional Sasakian hypersurface M of a (2n+2)dimensional Kaehler manifold M2n+2 is semiparallel if and ... 
On some class of hypersurfaces in doublestruck E signn+1 satisfying Chen's equality
Özgür, Cihan; Arslan, Kadri (2002)In this paper we study pseudosymmetry type hypersurfaces in the Euclidean space n+1 satisfying B. Y. Chen's equality. 
On Some Class of Hypersurfaces in En+1 Satisfying Chen’s Equality
Özgür, Cihan; Arslan, Kadri (2002)In this paper we study pseudosymmetry type hypersurfaces in the Euclidean space E n+1 satisfying B. Y. Chen’s equality 
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 ... 
Recurrent immersions
Arslan, Kadri; Deszcz, Ryszard; Murathan, Cengizhan; Özgür, Cihan (Walter de Gruyter GmbH, 1999)In this paper we consider the relations between immersions of recurrent type with the immersions having certain planar properties. Namely, we investigate the weak recurrent immersions 
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 ...