Results 21 to 30 of about 74,207 (261)
On generalized G-recurrent manifolds [PDF]
Surveys in Mathematics and its Applications, 2021 In this paper, we define a type of Riemannian manifold called generalized G-recurrent manifold, and study the various properties of such a manifold. Among others, it is shown that if a generalized G-recurrent manifold is Einstein, then its associated 1 ...
Jaeman Kim
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Wormholes in ACH Einstein manifolds [PDF]
Transactions of the American Mathematical Society, 2008 We give a new construction of Einstein and Kaehler-Einstein manifolds which are asymptotically complex hyperbolic, inspired by the work of Mazzeo-Pacard in the real hyperbolic case. The idea is to develop a gluing theorem for 1-handle surgery at infinity, which generalizes the Klein construction for the complex hyperbolic metric.
Biquard, Olivier, Rollin, Yann
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On the stability of Einstein manifolds [PDF]
Annals of Global Analysis and Geometry, 2014 18 papers, published version. The published version only contains a part of the first version of this paper.
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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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Sasaki-Einstein manifolds [PDF]
Surveys in Differential Geometry, 2011 This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.
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On a semi-quasi-Einstein manifold [PDF]
Journal of Geometry and Physics, 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 a manifold with a Killing generator.
Yanling Han, Avik De, Peibiao Zhao
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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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EINSTEIN MANIFOLDS WITH SKEW TORSION [PDF]
The Quarterly Journal of Mathematics, 2013 24 pages, 1 figure, new version with erratum added at the ...
Ferreira, Ana Cristina, Agricola, Ilka
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Einstein almost cokähler manifolds [PDF]
Mathematische Nachrichten, 2016 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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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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