Results 1 to 10 of about 431,181 (185)
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
Anatomy of Einstein manifolds [PDF]
Physical Review D, 2022 v2: Title changed with improved contents, 36 pages, 4 figures, to appear in Phys.
Jongmin Park +2 more
openaire +2 more sources
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
semanticscholar +1 more source
On a semi-quasi-Einstein manifold [PDF]
, 2020 In the present paper we introduce a semi-quasi-Einstein manifold from a semi symmetric metric connection. Among others, the popular Schwarzschild and Kottler spacetimes are shown to possess this structure. Certain curvature conditions are studied in such
Yanling Han, A. De, P. Zhao
semanticscholar +1 more source
$m$-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
doaj +1 more source
Bose–Einstein condensation on curved manifolds [PDF]
New Journal of Physics, 2020 Here we describe a weakly interacting Bose gas on a curved smooth manifold, which is embedded in the three-dimensional Euclidean space. To this end we start by considering a harmonic trap in the normal direction of the manifold, which confines the three ...
Natália S. Móller +5 more
semanticscholar +1 more source
∗-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
doaj +1 more source
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
doaj +1 more source