Results 251 to 260 of about 157,174 (281)

Quasi-Einstein Kähler Metrics

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, Tønnesen-Friedman, Christina, Valent, Galliano   +2 more
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Six-dimensional Lie–Einstein metrics

Journal of Geometry, 2021
On an Einstein manifold the Ricci tensor is a multiple of the metric. In the present paper the authors study Einstein manifolds that arise for right-invariant Riemannian metrics on a six-dimensional Lie group \(G\). They impose severe restrictions on the Lie algebra it-self: indecomposable, six-dimensional and solvable.
Subedi, Rishi Raj, Thompson, Gerard
openaire   +1 more source

QUASI-EINSTEIN METRICS

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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Einstein Landsberg metrics

Publicationes Mathematicae Debrecen, 2009
Let \((M,F)\) be a Finsler manifold and \(\mathbb R\), in Z. Shen's terminology, its Riemann curvature. (Other terms: affine deviation tensor - L. Berwald; Jacobi endomorphism - W. Sarlet and his collaborators.) The function \(\sigma:=\frac{1}{F^2}\text{tr}\mathbb{R}\) is the Ricci-scalar of \((M,F)\).
Sadeghzadeh, Nasrin, Razavi, Asadollah, Rezaei, Bahman   +2 more
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On some euclidean einstein metrics

Letters in Mathematical Physics, 1986
The 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.
openaire   +1 more source

Unstable Einstein metrics

Mathematische Zeitschrift, 2005
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Einstein metrics and Einstein–Randers metrics on a class of homogeneous manifolds

International Journal of Geometric Methods in Modern Physics, 2018
In this paper, we give [Formula: see text]-invariant Einstein metrics on a class of homogeneous manifolds [Formula: see text], and then prove that every homogeneous manifold [Formula: see text] admits at least three families of [Formula: see text]-invariant non-Riemannian Einstein–Randers metrics.
Chao chen, Zhiqi chen, Yuwang Hu
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Einstein-Kähler Metrics

1998
In this chapter we shall use the continuity method and the method of upper and lower solutions to solve complex Monge—Ampere equations.
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Desingularisation of Einstein metrics. I

2013
The 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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Kähler–Einstein Metrics

2007
Charles P. Boyer, Krzysztof Galicki
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