Ricci solitons in contact metric manifolds
Webb7 apr. 2024 · In this paper, we investigate the behavior of Ricci solitons under Generalized $\mathcal{D}$-conformal deformation on cosymplectic manifolds. We derive … Webb20 feb. 2024 · Abstract. In present article, we consider a L2-orthogonal decomposition of the traceless part of the Ricci tensor of a closed Riemannian manifold and study its …
Ricci solitons in contact metric manifolds
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Webb6 jan. 2024 · The present paper is to deliberate the class of ϵ -Kenmotsu manifolds which admits conformal η -Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal η -Ricci soliton of ϵ -Kenmotsu manifolds. WebbRiemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer’s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasakian geometry, and their interrelation to mathematical …
Webb13 apr. 2024 · [ 1] A statistical structure on a smooth manifold M is a pair (\nabla , g) consisting of a torsion-free affine connection \nabla and a (pseudo-)Riemannian metric g such that g is a \nabla -Codazzi tensor field, i.e., \begin {aligned} (\nabla _Xg) (Y,Z)= (\nabla _Yg) (X,Z) \end {aligned} for any X,Y,Z\in {\mathfrak {X}} (M). WebbU. C. De, Y. J. Suh, P. Majhi /Filomat 32:13 (2024), zzz–zzz 3 As a consequence of the main Theorem we obtain some important corollaries: Corollary 1.2. Let the metric 1of an η …
WebbWe prove that on a K -contact manifold, a Ricci almost soliton is a Ricci soliton if and only if the potential vector field V is a Jacobi field along the Reeb vector field ξ. Then we …
WebbIn differential geometry, a complete Riemannian manifold is called a Ricci soliton if, and only if, there exists a smooth vector field such that for some constant . Here is the Ricci …
Webbcontact metric manifold is called a Sasakian manifold. ... Generalized Ricci solitons on K-contact manifolds 169 [3] Chrusciel, P.T., Reall, H.S., Tod, P.: On non-existence of static … is march 18 a piscesWebbA contact Ricci soliton is shrinking and is Einstein K-contact. Here we generalise the last two results and prove. THEOREM 1. Let M2n+1(ϕ,ξ,η,g) be a contact metric manifold … kichler remote wall mountWebb6 jan. 2024 · Department of Mathematics, Bidhan Chandra College, Asansol-4, West Bengal 713304, India. The present paper is to deliberate the class of ϵ -Kenmotsu manifolds … is march 19 a holy day of obligationWebbHoldings; Item type Current library Collection Call number Status Date due Barcode Item holds; Book Europe Campus Main Collection: Print: QA40 .P75 2008 (Browse shelf (Opens below)) kichler rewards programWebb8 mars 2024 · In this paper, we prove that a Sasakian pseudo-metric manifold which admits an Ricci soliton is an Einstein manifold, and if the potential vector field of the … is march 19 piscesWebbAbstract. We study and obtain results on Ricci solitons in trans-Sasakian manifolds satisfying , , , and , where , , and are quasiconformal, projective, and conharmonic … is march 19 st joseph dayWebbIn this paper, we study the properties of -Kenmotsu manifolds if its metrics are -Ricci-Yamabe solitons. It is proven that an -Kenmotsu manifold endowed with a -Ricci-Yamabe soliton is -Einstein. The necessary conditions for an -Kenmotsu manifold, whose metric is a -Ricci-Yamabe soliton, to be an Einstein manifold are derived. kichler replacement glass for fixtures