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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
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Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures [PDF]
Mathematica Bohemica, 2016 We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures $(g, \pmømega)$ with constant scalar curvature is either Einstein, or the dual field of $ømega$ is Killing.
Amalendu Ghosh
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Some Homogeneous Einstein Manifolds [PDF]
Nagoya Mathematical Journal, 1970 Let G be a connected Lie group and H a closed subgroup with Lie algebra such that in the Lie algebra g of G there exists a subspace m with (subspace direct sum) and In this case the corresponding manifold M = G/H is called a reductive homogeneous space and (g,) (or (G,H)) a reductive pair.
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Examples of Einstein manifolds in odd dimensions [PDF]
, 2011 We construct Einstein metrics of non-positive scalar curvature on certain solid torus bundles over a Fano Kahler-Einstein manifold. We show, among other things, that the negative Einstein metrics are conformally compact, and the Ricci-flat metrics have ...
Chen, Dezhong
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Frontiers in Physics, 2022 The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
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REMARKS ON KÄHLER-EINSTEIN MANIFOLDS [PDF]
Nagoya Mathematical Journal, 1972 The main purpose of this note is to characterize a compact Káhler-Einstein manifold in terms of curvature form. The curvature form Q is an EndT valued differential form of type (1,1) which represents the curvature class of the manifold. We shall prove that the curvature form of a Káhler metric is the harmonic representative of the curvature class if ...
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Einstein manifolds and contact geometry [PDF]
Proceedings of the American Mathematical Society, 2001 We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result.
Boyer, Charles P., Galicki, Krzysztof
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Homogeneous Einstein manifolds
Revista de la Unión Matemática Argentina, 2023 A Riemannian manifold is said to be Einstein if it has constant Ricci curvature, i.e., if its metric \(g\) satisfies Ric\(_g=cg\). When working in a homogeneous space, this condition turns into a collection of algebraic equations. Despite this apparent simplicity, the study of homogeneous Einstein manifolds turns out to be very involved and is, up to ...
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Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]
Arab Journal of Mathematical SciencesPurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
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Einstein almost cok��hler manifolds
, 2014 We study an odd-dimensional analogue of the Goldberg conjecture for compact Einstein almost K hler manifolds. We give an explicit non-compact example of an Einstein almost cok hler manifold that is not cok hler. We prove that compact Einstein almost cok hler manifolds with non-negative $*$-scalar curvature are cok hler (indeed, transversely Calabi-
CONTI, DIEGO, Fernández, M.
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