Results 281 to 290 of about 10,961 (308)
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Einstein Riemannian metrics and Einstein–Randers metrics on a class of homogeneous manifolds
Nonlinear Analysis: Theory, Methods & Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kang, Yifang, Chen, Zhiqi
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Letters in Mathematical Physics, 1999
The authors write an ansatz for quasi-Einstein Kähler metrics (also called Kähler Ricci solitons) and construct new examples on complex line bundles (or their compactifications \({\mathbf P}(\mathcal{O}\otimes L)\)) over Kähler-Einstein base manifolds \(B\). Firstly, the authors obtain in Sect. 2 an ansatz for quasi-Einstein Kähler metrics with a torus
Pedersen, Henrik +2 more
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The authors write an ansatz for quasi-Einstein Kähler metrics (also called Kähler Ricci solitons) and construct new examples on complex line bundles (or their compactifications \({\mathbf P}(\mathcal{O}\otimes L)\)) over Kähler-Einstein base manifolds \(B\). Firstly, the authors obtain in Sect. 2 an ansatz for quasi-Einstein Kähler metrics with a torus
Pedersen, Henrik +2 more
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International Journal of Mathematics, 1995
Motivated by Koiso’s work on quasi-Einstein metrics on Fano manifolds, we define (generalized) quasi-Einstein metrics in any Kähler class on any compact complex manifold. It turns out that these metrics are similar to Calabi’s Extremal metrics. Moreover their existence might be studied by a curvature flow in a given Kähler class.
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Motivated by Koiso’s work on quasi-Einstein metrics on Fano manifolds, we define (generalized) quasi-Einstein metrics in any Kähler class on any compact complex manifold. It turns out that these metrics are similar to Calabi’s Extremal metrics. Moreover their existence might be studied by a curvature flow in a given Kähler class.
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On Lfp-spectrum and τ-quasi-Einstein metric
Journal of Mathematical Analysis and Applications, 2012 In this paper, we study Lfp-spectrum estimates for some smooth potential function f on complete noncompact Riemannian manifolds via the τ-Bakry–Émery curvature.
Lin Feng Wang
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On some euclidean einstein metrics
Letters in Mathematical Physics, 1986The authors study the complex manifold associated with a nonlinear superposition of the Eguchi-Hanson and the pseudo-Fubini-Study metrics. The apparent singularities of the metric can be resolved only if the Eguchi-Hanson parameter satisfies a certain condition with \(n\geq 3\). The authors give a geometrical explanation of this fact.
Pedersen, H., Nielsen, B.
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A comment on “A note on Einstein metrics”
ACM SIGSAM Bulletin, 1988In a recent note, Nielsen and Pedersen [1] reported how they verified some solutions of Einstein's field equations with the help of REDUCE. They used a program which is contained in the standard REDUCE [2] testfile and which was written by Barton and Fitch.
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Desingularisation of Einstein metrics. I
2013The author studies a new obstruction for a real Einstein 4-orbifold \((M_0,g_0)\) with \(A_1\)-singularity to be a limit of smooth Einstein 4-manifolds. The author proves that if \((M_0,g_0)\) with a nondegenerate asymptotically hyperbolic metric \(g_0\) has a singularity of the type \(\mathbb R^4\slash \mathbb Z_2\) at a point \(p_0\) and \(M\) is a ...
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Homogeneous Einstein and Einstein–Randers metrics on Stiefel manifolds
Mathematische NachrichtenAbstractWe study invariant Einstein metrics and Einstein–Randers metrics on the Stiefel manifold . We use a characterization for (nonflat) homogeneous Einstein–Randers metrics as pairs of (nonflat) homogeneous Einstein metrics and invariant Killing vector fields.
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Einstein’s Equation on Three-Dimensional Metric Lie Groups with Vector Torsion
Journal of Mathematical Sciences, 2023E D Rodionov, Rodionov E D
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