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$m$-quasi-$*$-Einstein contact metric manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2022 The goal of this article is to introduce and study the characterstics of $m$-quasi-$*$-Einstein metric on contact Riemannian manifolds. First, we prove that if a Sasakian manifold admits a gradient $m$-quasi-$*$-Einstein metric, then $M$ is $\eta ...
H.A. Kumara, V. Venkatesha, D.M. Naik
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Charged and Electromagnetic Fields from Relativistic Quantum Geometry [PDF]
Universe, 2016 In the recently introduced Relativistic Quantum Geometry (RQG) formalism, the possibility was explored that the variation of the tensor metric can be done in a Weylian integrable manifold using a geometric displacement, from a Riemannian to a Weylian ...
Marcos R. A. Arcodía, Mauricio Bellini
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Characterizations of Generalized Quasi-Einstein Manifolds [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We give characterizations of generalized quasi-Einstein manifolds for both even and odd ...
Sular Sibel, Özgür Cihan
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Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones.
Mihai Visinescu, Eduard Vîlcu
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Characterizing ϕRic-Vector Fields and Quasi-Einstein Manifolds on Multiply Warped Product Manifolds [PDF]
International Journal of Mathematics and Mathematical SciencesWe characterize multiply warped product manifolds with ϕRic-vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕRic-vector field.
Moctar Traore +2 more
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A Kenmotsu metric as a conformal $\eta$-Einstein soliton
Karpatsʹkì Matematičnì Publìkacìï, 2021 The object of the present paper is to study some properties of Kenmotsu manifold whose metric is conformal $\eta$-Einstein soliton. We have studied certain properties of Kenmotsu manifold admitting conformal $\eta$-Einstein soliton.
S. Roy, S. Dey, A. Bhattacharyya
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∗-Ricci Tensor on α-Cosymplectic Manifolds
Advances in Mathematical Physics, 2022 In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi +3 more
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ρ-Einstein Solitons on Warped Product Manifolds and Applications
Journal of Mathematics, 2022 The purpose of this research is to investigate how a ρ-Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ-Einstein solitons are provided.
Nasser Bin Turki +4 more
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(k,μ)-Paracontact Manifolds and Their Curvature Classification
Cumhuriyet Science Journal, 2022 The aim of this paper is to study (k,μ)-Paracontact metric manifold. We introduce the curvature tensors of a (k,μ)-paracontact metric manifold satisfying the conditions R⋅P_*=0, R⋅L=0, R⋅W_1=0, R⋅W_0=0 and R⋅M=0.
Pakize Uygun
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Semi-Conformally Flat Singly Warped Product Manifolds and Applications
Axioms, 2023 This paper investigates singly warped product manifolds admitting semi-conformal curvature tensors. The form of the Riemann tensor and Ricci tensor of the base and fiber manifolds of a semi-conformally flat singly warped product manifold are provided. It
Samesh Shenawy +4 more
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