Local Boundary Regularity of the Canonical Einstein-Kähler Metric on Pseudoconvex Domains.
John S. Bland (1983)
Mathematische Annalen
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Displaying similar documents to “Estimate of the Einstein-Kähler metric on a weakly pseudoconvex domain in ... .”
Local Boundary Regularity of the Canonical Einstein-Kähler Metric on Pseudoconvex Domains.
Complete Kähler-Einstein Metrics on Bounded Domains Locally of Finite Volume at Some Boundary Points.
Ngaiming Mok (1988)
Mathematische Annalen
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Canonical metrics on some domains of
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 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 in , the so-called Hartogs domains, which can be equipped with a natural Kaehler...
Remarks on the Existence Problem of Positive Kähler-Einstein Metrics.
Wei-Yue Ding (1988)
Mathematische Annalen
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On Deformations of Kähler Spaces. I.
Jürgen Bingener (1983)
Mathematische Zeitschrift
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A new proof of the existence of Kähler-Einstein metrics on K3, I.
P. Topiwala (1987)
Inventiones mathematicae
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Thin Complements of Complete Kähler Domains.
Klas Diederich, John Eric Fornaess (1982)
Mathematische Annalen
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On Kähler-Einstein metrics on certain Kahler manifolds with C1 (M) > 0.
G. Tian (1987)
Inventiones mathematicae
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Hartogs type extension theorems on some domains in Kähler manifolds
Takeo Ohsawa (2012)
Annales Polonici Mathematici
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Given a locally pseudoconvex bounded domain Ω, in a complex manifold M, the Hartogs type extension theorem is said to hold on Ω if there exists an arbitrarily large compact subset K of Ω such that every holomorphic function on Ω-K is extendible to a holomorphic function on Ω. It will be reported, based on still unpublished papers of the author, that the Hartogs type extension theorem holds in the following two cases: 1) M is Kähler and ∂Ω is C²-smooth and not Levi flat; 2) M is compact...
An Obstruction to the Existence of Einstein Kähler Metrics.
A. Futaki (1983)
Inventiones mathematicae
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A new proof of the existence of Kähler-Einstein metrics on A3, II.
P. Topiwala (1987)
Inventiones mathematicae
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A new invariant Kähler metric on relatively compact domains in a complex manifold
Bo-Yong Chen (2007)
Annales Polonici Mathematici
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We introduce a new invariant Kähler metric on relatively compact domains in a complex manifold, which is the Bergman metric of the L² space of holomorphic sections of the pluricanonical bundle equipped with the Hermitian metric introduced by Narasimhan-Simha.
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.