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Einstein spaces as attractors for the Einstein flow [PDF]
50 ...
Andersson, Lars, Moncrief, Vincent
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typos corrected, 16 pages, 1 figure, to appear in ...
Thomas Van Riet+2 more
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Autodual Einstein Versus Kähler–Einstein [PDF]
Typos ...
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The extended quasi-Einstein manifolds with generalised Ricci solitons [PDF]
As a generalization of Einstein manifolds, the nearly quasi-Einstein manifolds and pseudo quasi-Einstein manifolds are both interesting and useful in studying the general relativity. In this paper, we study the extended quasi-Einstein manifolds which derive from pseudo quasi-Einstein manifolds.
arxiv
At the 1927 Solvay conference, Albert Einstein presented a thought experiment intended to demonstrate the incompleteness of the quantum mechanical description of reality. In the following years, the experiment was modified by Einstein, de Broglie, and several other commentators into a simple scenario involving the splitting in half of the wave function
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Einstein solvmanifolds and the pre-Einstein derivation [PDF]
An Einstein nilradical is a nilpotent Lie algebra, which can be the nilradical of a metric Einstein solvable Lie algebra. The classification of Riemannian Einstein solvmanifolds (possibly, of all noncompact homogeneous Einstein spaces) can be reduced to determining, which nilpotent Lie algebras are Einstein nilradicals and to finding, for every ...
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Generalized Eta-Einstein and $(κ,μ)$-structures [PDF]
Generalized $(\kappa ,\mu )$ structures occur in dimension 3 only. In this dimension 3, only K-contact structures can occur as generalized Eta-Einstein. On closed manifolds, Eta-Einstein, K-contact structures which are not D-homothetic to Einstein structures are almost regular.
arxiv
Einstein solvmanifolds with a simple Einstein derivation [PDF]
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Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds [PDF]
We show that homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds, using that they admit periodic, integrally minimal foliations by homogeneous hypersurfaces. For the geometric flow induced by the orbit-Einstein condition, we construct a Lyapunov function based on curvature estimates which come from real GIT.
arxiv +1 more source