Results 11 to 20 of about 233 (29)
Ricci solitons on almost Kenmotsu 3-manifolds
Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field ...
Wang Yaning
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Pseudo-slant submanifolds in cosymplectic space forms
In this paper, we study the geometry of the pseudo-slant submanifolds of a cosymplectic space form. Necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, pseudo-slant product, mixed geodesic and totally ...
Dirik Süleyman, Atçeken Mehmet
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A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors
Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) ×
Wang Yaning
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D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton
In this paper we study the nature of Ricci solitons in D-homo-thetically deformed Kenmotsu manifolds. We prove that η -Einstein Kenmotsu metric as a Ricci soliton remains η -Einstein under D-homothetic deformation and the scalar curvature remains ...
Kumar D.L. Kiran, Nagaraja H.G., Venu K.
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A dimensional restriction for a class of contact manifolds
In this work we consider a class of contact manifolds (M, η) with an associated almost contact metric Structure (ϕ, ξ, η, g). This class contains, for example, nearly cosymplectic manifolds and the manifolds in the class C9 ⊕ C10 defined by Chinea and ...
Loiudice Eugenia
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A neutral relation between metallic structure and almost quadratic {\phi}-structure
In this paper, metallic structure and almost quadratic metric phi-structure are studied. Based on metallic (polynomial) Riemannian manifold, Kenmotsu quadratic metric manifold, cosymplectic quadratic metric manifold are defined and gave some examples ...
Erken, İrem Küpeli+3 more
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*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is ...
Dai Xinxin, Zhao Yan, Chand De Uday
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In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina+1 more
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The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure
We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) contact metric manifolds are characterized.
Olszak, Zbigniew
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Matrix Lie groups as 3-dimensional almost contact B-metric manifolds [PDF]
The object of investigation are Lie groups considered as almost contact B-metric manifolds of the lowest dimension three. It is established a correspondence of all basic-class-manifolds of the Ganchev-Mihova-Gribachev classification of the studied ...
Manev, Hristo
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