Results 81 to 90 of about 156,624 (168)
Einstein Metrics on solvable groups
Mathematische Zeitschrift, 1991 We investigate when solvable Lie groups of a certain type do admit left invariant metrics with constant negative Ricci curvature. Our methods permit to construct a lot of new Einstein manifolds; some examples also have nonpositive sectional curvature.
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Remarks on Mӧller mistaken famous paper from 1943 [PDF]
Einstein field equations was originally derived by Einstein in 1915 in respect with canonical formalism of Riemann geometry,i.e. by using the classical sufficiently smooth metric tensor, smooth Riemann curvature tensor, smooth Ricci ...
Foukzon, Jaykov
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SMOOTH METRIC MEASURE SPACES AND QUASI-EINSTEIN METRICS [PDF]
International Journal of Mathematics, 2012 Smooth metric measure spaces have been studied from the two different perspectives of Bakry–Émery and Chang–Gursky–Yang, both of which are closely related to work of Perelman on the Ricci flow. These perspectives include a generalization of the Ricci curvature and the associated quasi-Einstein metrics, which include Einstein metrics, conformally ...
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Description of gravity in the model with independent nonsymmetric connection
EPJ Web of Conferences, 2017 A generalization of General Relativity is studied. The standard Einstein-Hilbert action is considered in the Palatini formalism, where the connection and the metric are independent variables, and the connection is not symmetric.
Kharuk N. V. +2 more
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Examples of compact Einstein four-manifolds with negative curvature
, 2020 We give new examples of compact, negatively curved Einstein manifolds of dimension $4$. These are seemingly the first such examples which are not locally homogeneous.
Fine, Joel, Premoselli, Bruno
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Isometry group of Sasaki–Einstein metric [PDF]
Comptes Rendus. Mathématique, 2013 In this short paper we prove a conjecture of Martelli–Sparks–Yau regarding the isometry group of a Sasaki–Einstein metric.
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FIVE DIMENSIONAL BOOSTS AND ELECTROMAGNETIC FIELD IN KALUZA-KLEIN THEORY
Odessa Astronomical Publications, 2016 A stationary, spherically symmetric, 5D Kaluza-Klein theory exhibits 5D boosts. After reduction of 5D vacuum Einstein action of a diagonal 5D metric, we obtained Einstein equations with energy-momentum tensor of a massless scalar field.
V. D. Gladush, Nadim Al-Shawaf
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Einstein Metrics via Derdziński Duality
The Journal of Geometric AnalysisAbstract Drawing on results of Derdziński’s from the 1980s, we classify conformally Kähler, U(2)-invariant, Einstein metrics on the total space of $${{\mathcal {O}}}(-m)$$ O ( - m
Gonçalo Oliveira, Rosa Sena-Dias
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Maskit combinations of Poincaré–Einstein metrics
Advances in Mathematics, 2006 26 pages (slight changes to bibliography)
Mazzeo, Rafe, Pacard, Frank
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Characterization of Bach and Cotton Tensors on a Class of Lorentzian Manifolds
MathematicsIn this work, we aim to investigate the characteristics of the Bach and Cotton tensors on Lorentzian manifolds, particularly those admitting a semi-symmetric metric ω-connection.
Yanlin Li +3 more
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