Results 21 to 30 of about 4,268 (287)
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 Einstein Equations on Manifolds and Supermanifolds [PDF]
Journal of Nonlinear Mathematical Physics, 2002 The Einstein equations (EE) are certain conditions on the Riemann tensor on the real Minkowski space M. In the twistor picture, after complexification and compactification M becomes the Grassmannian $Gr_{2}^{4}$ of 2-dimensional subspaces in the 4-dimensional complex one.
Leites, D., Poletaeva, E., Serganova, V.
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SOME NOTES ON KENMOTSU MANIFOLD [PDF]
, 2021 In the present paper, we deal with a Kenmotsu manifold $M$. Firstly, we study the notion of torse-forming vector field on such a manifold. Then, we investigate some curvature conditions such as $Q.\mathcal{M}=0$ and $C.Q=0$ on such a manifold and obtain ...
Yoldaş, Halil İbrahim, Yasar, Erol
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Characterization on Mixed Generalized Quasi-Einstein Manifold [PDF]
, 2016 summary:In the present paper we study characterizations of odd and even dimensional mixed generalized quasi-Einstein manifold. Next we prove that a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold under a certain ...
BHATTACHARYYA, Arindam +2 more
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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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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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On the scalar curvature of Einstein manifolds [PDF]
Mathematical Research Letters, 1997 LaTeX.
Catanese, Fabrizio, LeBrun, Claude
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Characterizations of Generalized Quasi-Einstein Manifolds
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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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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Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]
, 2003 It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
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