Results 1 to 10 of about 472,861 (268)
On the stability of homogeneous Einstein manifolds II [PDF]
Journal of the London Mathematical Society, 2021 For any G$G$ ‐invariant metric on a compact homogeneous space M=G/K$M=G/K$ , we give a formula for the Lichnerowicz Laplacian restricted to the space of all G$G$ ‐invariant symmetric 2‐tensors in terms of the structural constants of G/K$G/K$ .
Jorge Lauret, Cynthia Will
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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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A Kenmotsu metric as a conformal $\eta$-Einstein soliton [PDF]
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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On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2021 The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
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Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
Karpatsʹkì Matematičnì Publìkacìï, 2019 First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
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Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
International Journal of Mathematics and Mathematical Sciences, 2003 The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
Vittorio Mangione
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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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Characterizing ϕRic-Vector Fields and Quasi-Einstein Manifolds on Multiply Warped Product Manifolds
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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Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds [PDF]
Potential Analysis, 2022 On a smooth, closed Einstein manifold ( M , g ) of dimension $$n \ge 3$$ n ≥ 3 with positive scalar curvature and not conformally diffeomorphic to the standard sphere, we prove that the only conformal metrics to g with constant Q-curvature of order 4 ...
J'erome V'etois
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Local and global scalar curvature rigidity of Einstein manifolds [PDF]
Mathematische Annalen, 2021 An Einstein manifold is called scalar curvature rigid if there are no compactly supported volume-preserving deformations of the metric which increase the scalar curvature.
Mattias Dahl, Klaus Kroencke
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