Yazar "Meric, Semsi Eken" seçeneğine göre listele

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    Contact-Complex Riemannian Submersions
    (Mdpi, 2021) Bejan, Cornelia-Livia; Meric, Semsi Eken; Kilic, Erol
    A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals mainly with a contact-complex Riemannian submersion from an eta-Ricci soliton; it studies when the base manifold is Einstein on one side and when the fibres are eta-Einstein submanifolds on the other side. Some results concerning the potential are also obtained here.
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    Einstein Metrics Induced by Natural Riemann Extensions
    (Springer Basel Ag, 2017) Bejan, Cornelia-Livia; Meric, Semsi Eken; Kilic, Erol
    Clifford algebras are used in theoretical physics and in particular, in the general theory of relativity, where Einstein's equations are rewritten in Girard (Adv Appl Clifford Algebras 9(2):225-230, 1999) within a Clifford algebra. Let M be a manifold with a torsion-free connection which induces on its cotangent bundle T* M , a semi-Riemannian metric (g) over bar , called the natural Riemann extension, Kowalski and Sekizawa (Publ Math Debrecen 78:709-721, 2011). The main result of the present paper gives a necessary and sufficient condition for (g) over bar restricted to certain hypersurfaces of T* M to be Einstein.
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    Riemannian submersions whose total manifolds admit a Ricci soliton
    (World Scientific Publ Co Pte Ltd, 2019) Meric, Semsi Eken; Kilic, Erol
    In this paper, we study Riemannian submersions whose total manifolds admit a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton. Indeed, we obtain necessary conditions for which the target manifold of Riemannian submersion is a Ricci soliton. Moreover, we study the harmonicity of Riemannian submersion from Ricci soliton and give a characterization for such a submersion to be harmonic.
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    Scalar curvature of Lagrangian Riemannian submersions and their harmonicity
    (World Scientific Publ Co Pte Ltd, 2017) Meric, Semsi Eken; Kilic, Erol; Sagiroglu, Yasemin
    In this paper, we consider a Lagrangian Riemannian submersion from a Hermitian manifold to a Riemannian manifold and establish some basic inequalities to obtain relationships between the intrinsic and extrinsic invariants for such a submersion. Indeed, using these inequalities, we provide necessary and sufficient conditions for which a Lagrangian Riemannian submersion pi has totally geodesic or totally umbilical fibers. Moreover, we study the harmonicity of Lagrangian Riemannian submersions and obtain a characterization for such submersions to be harmonic.
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    Some Applications of ?-Ricci Solitons to Contact Riemannian Submersions
    (Univ Nis, Fac Sci Math, 2022) Kilic, Erol; Meric, Semsi Eken
    The aim of this paper is to study a contact Riemannian submersion pi : M -> B between almost contact metric manifolds such that its total space M admits an eta-Ricci soliton. Here, we obtain some necessary conditions for which any fiber of pi and the manifold B are eta-Ricci soliton, Ricci soliton, generalized quasi-Einstein, quasi-Einstein, eta-Einstein or Einstein. Finally, we study the total space M of pi equipped with a torqued vector field and give some characterizations for any fiber and the manifold B of such a submersion pi.