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Ricci solitons in contact metric manifolds

Webb13 juli 2024 · Contact 3-manifolds and *-Ricci soliton Authors: Yaning Wang Henan Normal University Abstract Let (M; ϕ; ξ; η; g) be a three-dimensional Kenmotsu manifold. In this … Webb-Ricci solitons on N(k)-contact metric manifolds with harmonic curvature tensor. Then we study -Ricci solitonsonN(k)-contactmetricmanifoldswithharmonicWeyltensor. Moreover, …

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Webb2 aug. 2012 · We study on a contact metric manifold M2n+1 (ϕ, ξ, η, g) such that g is a Ricci soliton with potential vector field V collinear with ξ at each point under different … 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 … bohemian and chic https://changingurhealth.com

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WebbRicci solitons on nearly Kenmotsu manifolds with semi-symmetric metric connection. In sections 4 and 5, we find some basic results and theorems on Ricci-recurrent and WebbRicci Soliton on cosymplectic manifolds under deformation 4 C12-manifolds: An almost contact metric manifold (M,ϕ,ξ,ψ,η,ω,g) is of class C12 if and only if there exists a 1-form … WebbPara-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian Π-manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci … bohemian anderlecht

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Ricci solitons in contact metric manifolds

The Geometry Of Curvature Homogeneous Pseudo Riemannian Manifolds

Webb13 apr. 2024 · On a (pseudo-)Riemannian manifold, we consider an operator associated to a vector field and to an affine connection, which extends, in a certain way, the Hessian of … WebbExplore 106 research articles published on the topic of “Gaussian curvature” in 2024. Over the lifetime, 2726 publication(s) have been published within this topic receiving 50271 …

Ricci solitons in contact metric manifolds

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WebbRicci solitons in contact metric manifolds. Mukut Mani Tripathi. 01 Jan 2011-- Webb8 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 …

WebbIn 1969, Takahashi [ 1] introduced an almost contact manifold equipped with an associated indefinite metric and explored some geometrical properties of almost contact manifolds … 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).

Webb7 apr. 2024 · In this paper, we investigate the behavior of Ricci solitons under Generalized $\mathcal{D}$-conformal deformation on cosymplectic manifolds. We derive … WebbRecent Developments In Geometry. Download Recent Developments In Geometry full books in PDF, epub, and Kindle. Read online Recent Developments In Geometry ebook …

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Webb29 jan. 2016 · Ricci solitons have been studied in the context of Kaehler geometry. Kaehler manifolds are complex and contact Riemannian manifolds are real. So, it makes more … bohemian and moravianWebbCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. In N(k)-contact metric manifolds and/or (k, µ)-manifolds, gradient Ricci solitons, compact … bohemian and gypsy clothingWebb20 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 application to the geometry of compact Ricci almost solitons. glock 19 mos cover plateWebb5 feb. 2024 · Many tools for K´’ahler manifolds have analogues for contact manifolds, among them the -Ricci tensor, introduced in [5] for almost Hermitian manifolds. In [6], … glock 19 mos fsWebbIn 1977, Klembeck presented an explicit Kähler metric of positive holomorphic curvature on Cn [Klembeck P. A complete Kähler metric of positive curvature on Cn. Proc Amer Math … bohemian and czech is the sameWebbLet be a nontrivial 3-dimensional steady gradient Ricci soliton. If the scalar curvature satisfies for some , and , then the umbilical ratio of the level sets of satisfies . glock 19 mos sightsWebb7 okt. 2024 · In this paper, we investigate α−para Kenmotsu manifold with semi-symmetric metric connection. We have found the relations between curvature tensors, Ricci tensors … bohemian antique looking purses