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 FROM RIEMANN SOLITONS
    (Math Soc Serbia-Drustvo Matematicara Srbije, 2024) Meric, Semsi Eken; Kilic, Erol
    In the present paper, we study a Riemannian submersion pi from a Riemann soliton (M1, g,xi, lambda) onto a Riemannian manifold (M2, g ' ). We first calculate the sectional curvatures of any fibre of pi and the base manifold M2. Using them, we give some necessary and sufficient conditions for which the Riemann soliton (M1, g, xi, lambda) is shrinking, steady or expanding. Also, we deal with the potential field xi of such a Riemann soliton is conformal and obtain some characterizations about the extrinsic vertical and horizontal sectional curvatures of pi.
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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.