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Twistorial Examples of *-Einstein Manifolds
Annals of Global Analysis and Geometry, 2001The 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 ...
Johann Davidov +3 more
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2018
A Kahler manifold (M, g) is Einstein when there exists \(\lambda \in \mathbb {R}\) such that ρ = λω, where ω is the Kahler form associated to g and ρ is its Ricci form. The constant λ is called the Einstein constant and it turns out that λ = s∕2n, where s is the scalar curvature of the metric g and n the complex dimension of M (as a general reference ...
Michela Zedda, Andrea Loi
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A Kahler manifold (M, g) is Einstein when there exists \(\lambda \in \mathbb {R}\) such that ρ = λω, where ω is the Kahler form associated to g and ρ is its Ricci form. The constant λ is called the Einstein constant and it turns out that λ = s∕2n, where s is the scalar curvature of the metric g and n the complex dimension of M (as a general reference ...
Michela Zedda, Andrea Loi
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Einstein Manifolds and Topology
1987Which compact manifolds do admit an Einstein metric? Except in dimension 2 (see Section B of this chapter), a complete answer to this question seems out of reach today. At least, in dimensions 3 and 4, we can single out a few manifolds which definitely do not admit any Einstein metric.
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Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds
Annales Polonici Mathematici, 2015Li Ping Luo, Yi Hua Deng, Li Jun Zhou
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The Extension of Einstein Manifolds
1981Of the many mathematical problems connected with general relativity, the extension problem has been chosen for discussion in this chapter, because it is concerned with the global geometrical and topological properties of Einstein manifolds, and those properties seem to me to constitute the most basically mathematical aspect of the theory.
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Generalized Einstein manifolds
Differential Geometry and Its Applications, 2008Tran Quoc Binh, Cornelia-Livia Bejan
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