Browsing by Author "Murathan, Cengizhan"
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Chen inequalities for submanifolds of a cosymplectic space form with a semisymmetric metric connection
Özgür, Cihan; Murathan, Cengizhan (Univ Al İ Cuza, 2012)In this paper, we prove Chen inequalities for submanifolds of a cosymplectic space form of constant phisectional curvature N2m+1(c) endowed with a semisymmetric metric connection, i.e., relations between the mean curvature ... 
Chen inequalities for submanifolds of a locally conformal almost cosymplectic manifold with a semisymmetric metric connection
Özgür, Cihan; Murathan, Cengizhan (Ovidius Univ Press, 2010)In this paper we prove Chen inequalities for submanifolds of a locally conformal almost cosymplectic manifold N(2m+1)(c) of constant phisectional curvature c endowed with a semisymmetric metric connection, i.e., relations ... 
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 invariant submanifolds of lorentzian parasasakian manifolds
Özgür, Cihan; Murathan, Cengizhan (King Fahd Univ Petroleum Minerals, 2009)We consider semiparallel and 2semiparallel invariant submanifolds of Lorentzian paraSasakian manifolds. We show that these submanifolds are totally geodesic. We also consider invariant submanifolds of Lorentzian paraSasakian ... 
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 semiparallel antiinvariant submanifolds of generalized Sasakian space forms
Özgür, Cihan; Gürler, Fatma; Murathan, Cengizhan (Scientific Technical Research Council TurkeyTubitak, 2014)We consider minimal antiinvariant semiparallel submanifolds of generalized Sasakian space forms. We show that the submanifolds are totally geodesic under certain conditions. 
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 ... 
Pinching theorems for totally real minimal submanifolds in cpn
Murathan, Cengizhan; Özgür, Cihan (Cambridge Univ Press, 2009)Let M be an ndimensional totally real minimal submanifold in CPn. We prove that if M is semiparallel and the scalar curvature tau, (n1)(n2)(n+1)/2 <= tau <= 0, then M is an open part of the Clifford torus Tn subset ... 
Pseudo symmetric and pseudo Ricci symmetric warped product manifolds
We study pseudo symmetric (briefly (PS)n) and pseudo Ricci symmetric (briefly (PRS)n) warped product manifolds M ×F N. If M is (PS)n, then we give a condition on the warping function that M is a pseudosymmetric space and ... 
Pseudoparallel antiinvariant submanifolds of kenmotsu manifolds
Sular, Sibel; Özgür, Cihan; Murathan, Cengizhan (Hacettepe Unıv, 2010)We consider an antiinvariant, minimal, pseudoparallel and Riccigeneralized pseudoparallel submanifold M of a Kenmotsu space form (M) over tilde (c), for which xi is tangent to M. 
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 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. ...