Results 11 to 20 of about 75,961 (279)
Einstein Manifolds As Yang-Mills Instantons [PDF]
Modern Physics Letters A, 2013 It is well-known that Einstein gravity can be formulated as a gauge theory of Lorentz group where spin connections play a role of gauge fields and Riemann curvature tensors correspond to their field strengths.
Donaldson S. K. +6 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 ...
YOZÔ MATSUSHIMA
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Almost Einstein and Poincare-Einstein manifolds in Riemannian signature [PDF]
Journal of Geometry and Physics, 2008 38 ...
A. Rod Gover
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Einstein manifolds with skew torsion [PDF]
The Quarterly Journal of Mathematics, 2012 24 pages, 1 figure, new version with erratum added at the ...
Ilka Agricola, Ana Cristina Ferreira
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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
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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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On conformally Kähler, Einstein manifolds [PDF]
Journal of the American Mathematical Society, 2008 We prove that any compact complex surface with c 1 > 0 c_1>0 admits an Einstein metric which is conformally related to a Kähler metric. The key new ingredient is the existence of such a metric on the blow-up C P 2
Chen, Xiuxiong +2 more
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On Generalized Recurrent and Generalized Concircularly Recurrent Weyl Manifolds
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 In the present work, generalized recurrent and generalized concircularly recurrent Weyl manifolds are examined. We define nearly quasi-Einstein Weyl manifolds and we proved that if a generalized recurrent or generalized concircularly recurrent Weyl ...
İlhan Gül
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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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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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