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Kähler–Einstein metrics on group compactifications
Geometric and Functional Analysis, 2015We obtain a necessary and sufficient condition of existence of a Kähler–Einstein metric on a G × G-equivariant Fano compactification of a complex connected reductive group G in terms of the associated polytope.
Thibaut Delcroix
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Einstein metrics, harmonic forms, and symplectic four-manifolds
, 2014If $$M$$M is the underlying smooth oriented four-manifold of a Del Pezzo surface, we consider the set of Riemannian metrics $$h$$h on $$M$$M such that $$W^+(\omega , \omega )> 0$$W+(ω,ω)>0, where $$W^+$$W+ is the self-dual Weyl curvature of $$h$$h, and $$
C. LeBrun
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Existence of weak conical Kähler–Einstein metrics along smooth hypersurfaces
, 2013The existence of weak conical Kähler–Einstein metrics along smooth hypersurfaces with cone angle between $$0$$0 and $$2\pi $$2π is obtained by studying a family of Aubin’s (J Funct Anal 57:143–153, 1984) continuity paths and obtaining a uniform $$C^2$$C2
Chengjian Yao
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Pseudo-Riemannian Einstein metrics on noncompact homogeneous spaces
, 2020Zaili Yan
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Desingularisation of Einstein metrics. I
2013The 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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Homogeneous Einstein and Einstein–Randers metrics on Stiefel manifolds
Mathematische NachrichtenAbstractWe study invariant Einstein metrics and Einstein–Randers metrics on the Stiefel manifold . We use a characterization for (nonflat) homogeneous Einstein–Randers metrics as pairs of (nonflat) homogeneous Einstein metrics and invariant Killing vector fields.
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On projectively related Einstein metrics in Riemann-Finsler geometry
Mathematische Annalen, 2001Zhongmin Shen, Shen Zhongmin
exaly

