A new proof of the existence of Kähler-Einstein metrics on K3, I.
P. Topiwala (1987)
Inventiones mathematicae
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Displaying similar documents to “A new proof of the existence of Kähler-Einstein metrics on A3, II.”
A new proof of the existence of Kähler-Einstein metrics on K3, I.
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Wei-Yue Ding (1988)
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Daniele Angella, Cristiano Spotti (2017)
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We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for the SMI course "Kähler-Einstein metrics" given by C.S. in Cortona (Italy), May 2017. The material is not intended to be original.
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Włodzimierz Jelonek (2012)
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The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.
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Simone Calamai, David Petrecca (2017)
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In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.
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Jürgen Bingener (1983)
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We prove an extension theorem for Kähler currents with analytic singularities in a Kähler class on a complex submanifold of a compact Kähler manifold.
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Hermitian curvature flow
Jeffrey Streets, Gang Tian (2011)
Journal of the European Mathematical Society
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We define a functional for Hermitian metrics using the curvature of the Chern connection. The Euler–Lagrange equation for this functional is an elliptic equation for Hermitian metrics. Solutions to this equation are related to Kähler–Einstein metrics, and are automatically Kähler–Einstein under certain conditions. Given this, a natural parabolic flow equation arises. We prove short time existence and regularity results for this flow, as well as stability for the flow near Kähler–Einstein...