Results 281 to 290 of about 473,950 (309)

Static near-horizon geometries and rigidity of quasi-Einstein manifolds

Letters in Mathematical Physics, 2022
Static vacuum near-horizon geometries are solutions (M, g, X) of a certain quasi-Einstein equation on a closed manifold M, where g is a Riemannian metric and X is a closed 1-form.
Eric Bahuaud, S. Gunasekaran, Hari K. Kunduri, E. Woolgar   +3 more
semanticscholar   +1 more source

Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds

Annales Polonici Mathematici, 2015
Summary: We discuss the rigidity of Einstein manifolds and generalized quasi-Einstein manifolds. We improve a pinching condition used in a theorem on the rigidity of compact Einstein manifolds. Under an additional condition, we confirm a conjecture on the rigidity of compact Einstein manifolds.
Deng, Yi Hua, Luo, Li Ping, Zhou, Li Jun
openaire   +1 more source

A Class of Homogeneous Einstein Manifolds*

Chinese Annals of Mathematics, Series B, 2006
Let \(G\) be a compact connected simple Lie group with simple Lie algebra \(g\), \(\theta\) and \(\tau\) are two involutions of \(G\) such that \(\theta \tau=\tau \theta\). Let \(K=\{X\in G\,,\,\theta(X)=X\}\), \(K^{\prime}=\{X\in G\), \(\tau(X)=X\}\), and \(K^+=K\cap K^{\prime}\).
Kang, Yifang, Liang, Ke
openaire   +1 more source

Universal Maslov class of a Bohr-Sommerfeld Lagrangian embedding into a pseudo-Einstein manifold

, 2006
We show that in the case of a Bohr-Sommerfeld Lagrangian embedding into a pseudo-Einstein symplectic manifold, a certain universal 1-cohomology class, analogous to the Maslov class, can be defined.
N. Tyurin
semanticscholar   +1 more source

Kähler–Einstein metrics along the smooth continuity method

Geometric and Functional Analysis, 2015
We show that if a Fano manifold M is K-stable with respect to special degenerations equivariant under a compact group of automorphisms, then M admits a Kähler–Einstein metric.
V. Datar, Gábor Székelyhidi
semanticscholar   +2 more sources

Twistorial Examples of *-Einstein Manifolds

Annals of Global Analysis and Geometry, 2001
The purpose of the present paper is to study the 6-dimensional twistor space \(Z\) of an oriented 4-dimensional Riemannian manifold \(M\) as an example of almost Hermitian \(*\)-Einstein manifolds. The twistor space \(Z\) of \(M\) admits in a natural way a one-parameter family of Riemannian metrics \(h_t\), compatible with its two canonical almost ...
Davidov, Johann, Grantcharov, Gueo, Muškarov, Oleg   +2 more
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On Strongly Inhomogeneous Einstein Manifolds

Bulletin of the London Mathematical Society, 1996
The present authors constructed in [J. Reine Angew. Math. 455, 183-220 (1994)] inhomogeneous Einstein metrics of positive scalar curvature on compact simply connected 3-Sasakian manifolds \((S(p),g(p))\) in dimension \(4n-5\) for all \(n\geq 3\).
Boyer, Charles P., Galicki, Krzysztof, Mann, Benjamin M.   +2 more
openaire   +1 more source

Super $$\eta $$-Einstein Manifolds

Results in Mathematics
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Pablo Alegre, Alfonso Carriazo, Jong Taek Cho   +2 more
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η-Einstein nearly Kenmotsu manifolds

Asian-European Journal of Mathematics, 2019
In this paper, we showed that an [Formula: see text]-Einstein nearly Kenmotsu manifold with projective curvature tensor [Formula: see text], and conharmonic curvature tensor [Formula: see text], satisfy the conditions [Formula: see text] and [Formula: see text], respectively.
Tekin, Pelin, Aktan, Nesip
openaire   +2 more sources

Spin Holonomy of Einstein Manifolds

Communications in Mathematical Physics, 1999
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openaire   +1 more source