Yazar "Gulbahar, Mehmet" seçeneğine göre listele

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    Bochner-Chen Ideal Submanifolds
    (Chiang Mai Univ, Fac Science, 2020) Kilic, Erol; Gulbahar, Mehmet
    In this paper, we investigate ideal invariant submanifolds, ideal anti-invariant submanifolds and ideal CR-submanifolds of Bochner Kaehler manifolds. Moreover, some characterizations related with the holomorphic sectional curvature and the anti-holomorphic sectional curvature are obtained for Bochner Kaehler manifolds.
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    CHEN INVARIANTS FOR RIEMANNIAN SUBMERSIONS AND THEIR APPLICATIONS
    (Ankara Univ, Fac Sci, 2022) Gulbahar, Mehmet; Meric, Semsi E. K. E. N.; Kilic, Erol
    In this paper, an optimal inequality involving the delta curvature is exposed. With the help of this inequality some characterizations about the vertical motion and the horizontal divergence are obtained.
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    Concurrent Vector Fields on Lightlike Hypersurfaces
    (Mdpi, 2021) Kilic, Erol; Gulbahar, Mehmet; Kavuk, Ecem
    Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike hypersurfaces. Furthermore, Ricci soliton lightlike hypersurfaces admitting concurrent vector fields are studied and some characterizations for this frame of hypersurfaces are obtained.
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    Ideality of a Coisotropic Lightlike Submanifold
    (Int Electronic Journal Geometry, 2016) Kilic, Erol; Gulbahar, Mehmet
    The notion of best living way on coisotropic lightlike submanifolds is discussed. Some relations involving the screen Ricci curvature and the screen scalar curvature are given. Two examples of coisotropic lightlike submanifolds are mentioned and ideals of leaves of screen distributions in these examples are investigated by the help of these relations.
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    Inequalities for scalar curvature of pseudo-Riemannian submanifolds
    (Elsevier Science Bv, 2017) Tripathi, Mukut Mani; Gulbahar, Mehmet; Kilic, Erol; Keles, Sadik
    Some basic inequalities, involving the scalar curvature and the mean curvature, for a pseudo-Riemannian submanifold of a pseudo-Riemannian manifold are obtained. We also find inequalities for spacelike submanifolds. Equality cases are also discussed. (C) 2016 Elsevier B.V. All rights reserved.
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    On the sectional curvature of lightlike submanifolds
    (Springer International Publishing Ag, 2016) Kilic, Erol; Gulbahar, Mehmet
    The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold. For this purpose, the bounded sectional curvature is introduced and some special submanifolds of r-lightlike submanifolds of a semi-Riemannian manifold are investigated.
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    Some characterizations on indefinite space forms admitting almost contact structures
    (World Scientific Publ Co Pte Ltd, 2023) Acet, Bilal Eftal; Gulbahar, Mehmet; Kilic, Erol
    In this paper, the projective curvature tensor field of a generalized indefinite Sasakian space form is investigated. Some results dealing with projectively semi-symmetric and phi-projectively semi-symmetric generalized indefinite Sasakian space forms are obtained. Furthermore, biharmonic Legendre Frenet curves are discussed on these manifolds.
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    SOME INEQUALITIES ON SCREEN HOMOTHETIC LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD
    (Mathematical Soc Rep China, 2013) Gulbahar, Mehmet; Kilic, Erol; Keles, Sadik
    In this paper, we establish some inequalities involving k-Ricci curvature, k-scalar curvature, the screen scalar curvature on a screen homothetic lightlike hypersurface of a Lorentzian manifold. We compute Chen-Ricci inequality and Chen inequality on a screen homothetic lightlike hypersurface of a Lorentzian manifold. We give an optimal inequality involving the delta(n(1), ... , n(k))-invariant and some characterizations (totally umbilicity, totally geodesicity, minimality, etc.) for lightlike hypersurfaces.
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    Special proper pointwise slant surfaces of a locally product Riemannian manifold
    (Tubitak Scientific & Technological Research Council Turkey, 2015) Gulbahar, Mehmet; Kilic, Erol; Celik, Semra Saracoglu
    The structure of pointwise slant submanifolds in an almost product Riemannian manifold is investigated and the special proper pointwise slant surfaces of a locally product manifold are introduced. A relation involving the squared mean curvature and the Gauss curvature of pointwise slant surface of a locally product manifold is proved. Two examples of proper pointwise slant surfaces of a locally product manifold, one of which is special and the other one is not special, are given.
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    Strongly minimal complex lightlike hypersurfaces
    (Hacettepe Univ, Fac Sci, 2022) Gulbahar, Mehmet; Kilic, Erol
    In this paper, complex lightlike hypersurfaces of an indefinite Kahler manifold are studied. An optimal inequality characterized to strongly minimality for coisotropic lightlike submanifolds is proved. Strongly minimal Monge-type hypersurfaces in C-4(1) are examined and some examples of these hypersurfaces are given.
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    A USEFUL ORTHONORMAL BASIS ON BI-SLANT SUBMANIFOLDS OF ALMOST HERMITIAN MANIFOLDS
    (Tamkang Univ, 2016) Gulbahar, Mehmet; Kilic, Erol; Keles, Sadik
    In this paper, we study bi-slant submanifolds of an almost Hermitian manifold for different cases. We introduce a new orthonormal basis on bi-slant submanifold, semi-slant submanifold and hemi-slant submanifold of an almost Hermitian manifold to compute Chen's main inequalities. We investigate these inequalities for semi-slant submanifolds, hemi-slant submanifolds and slant submanifolds of a generalized complex space form. We obtain some characterizations on such submanifolds of a complex space form.