Yazar "Murathan, Cengizhan" seçeneğine göre listele

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  • Küçük Resim Yok
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    A Generalized Wintgen Inequality for Legendrian Submanifolds in Almost Kenmotsu Statistical Manifolds
    (INT ELECTRONIC JOURNAL GEOMETRY, 2019) Gorunus, Ruken; Erken, Irem Kupeli; Yazla, Aziz; Murathan, Cengizhan
    Main interest of the present paper is to obtain the generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu statistical manifolds.
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    H-Recurrent surfaces in Euclidean space Em
    (Selcuk University Research Center of Applied Mathematics, 2011) Arslan, Kadri; Murathan, Cengizhan; Özturk, Günay; Türkay, Selen
    The object of the paper is to study some smooth surfaces M whose mean curvature vector H satisfies the H-recurrent condition D_{X}H=?(X)H in m-dimensional Euclidean space E^{m}, where X is a tangent vector field of M and ? is a 1-form. First of all,we prove that the surfaces which satisfy the H-recurrent condition in E^{m} are R^{?}-parallel (i.e., R^{?}H=0). Then, we show that H-parallel surfaces in E? are either totally umbilical or normally flat.
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    A Neutral relation between metallic structure and almost quadratic ?-structure
    (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2019) Gonul, Sinem; Kupeli Erken, Irem; Yazla, Aziz; Murathan, Cengizhan
    In this paper, we give a neutral relation between metallic structure and almost quadratic metric phi-structure. Considering N as a metallic Riemannian manifold, we show that the warped product manifold Rx(f) N has an almost quadratic metric phi-structure. We define Kenmotsu quadratic metric manifolds, which include cosymplectic quadratic manifolds when beta = 0. Then we give nice almost quadratic metric phi-structure examples. In the last section, we construct a quadratic phi-structure on the hypersurface M-n of a locally metallic Riemannian manifold (M) over tilde (n+1).