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Displaying similar documents to “Complete Kähler-Einstein Metrics on Bounded Domains Locally of Finite Volume at Some Boundary Points.”

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.

Canonical metrics on some domains of n

Fabio Zuddas (2008-2009)

Séminaire de théorie spectrale et géométrie

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The study of the existence and uniqueness of a preferred Kähler metric on a given complex manifold M is a very important area of research. In this talk we recall the main results and open questions for the most important canonical metrics (Einstein, constant scalar curvature, extremal, Kähler-Ricci solitons) in the compact and the non-compact case, then we consider a particular class of complex domains D in n , the so-called Hartogs domains, which can be equipped with a natural Kaehler...