Canonical metrics on some domains of $\mathbb{C}^n$

Fabio Zuddas

Displaying similar documents to “Canonical metrics on some domains of $ℂ^{n}$ ”

On Kähler-Einstein metrics on certain Kahler manifolds with C1 (M) > 0.

G. Tian (1987)

Inventiones mathematicae

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Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections

Julien Keller, Christina Tønnesen-Friedman (2012)

Open Mathematics

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We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.

Remarks on the Existence Problem of Positive Kähler-Einstein Metrics.

Wei-Yue Ding (1988)

Mathematische Annalen

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Toric extremal Kähler-Ricci solitons are Kähler-Einstein

Simone Calamai, David Petrecca (2017)

Complex Manifolds

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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.

A new proof of the existence of Kähler-Einstein metrics on K3, I.

P. Topiwala (1987)

Inventiones mathematicae

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Kähler-Einstein metrics: Old and New

Daniele Angella, Cristiano Spotti (2017)

Complex Manifolds

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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.