Results 241 to 250 of about 75,961 (279)

On quasi Einstein manifolds

Periodica Mathematica Hungarica, 2004
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U. C. De, Gopal Chandra Ghosh
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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
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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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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
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On pseudo quasi-Einstein manifolds

Periodica Mathematica Hungarica, 2009
A type of non-flat semi-Riemannian manifolds, called pseudo quasi-Einstein manifold, is introduced and studied in detail. The quasi-Einstein manifolds are well-known, and are relevant in general relativity: Robertson-Walker spacetimes belong to this class.
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Spin Holonomy of Einstein Manifolds

Communications in Mathematical Physics, 1999
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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
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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
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ALMOST EINSTEIN-HERMITIAN MANIFOLDS

JP Journal of Geometry and Topology
In this paper, we show that every almost Einstein-Hermitian 4-manifold (i.e., almost Hermitian 4-manifold with -invariant Ricci tensor and harmonic Weyl tensor) is either Einstein or Hermitian. Consequently, we obtain that any almost Einstein-Hermitian 4-manifold which is not Einstein must be Hermitian and that every almost Einstein-Hermitian 4 ...
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Super $$\eta $$-Einstein Manifolds

Results in Mathematics
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Pablo Alegre, Alfonso Carriazo, Jong Taek Cho   +2 more
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