On a borderline class of non-positively curved compact Kähler manifolds.
S.-T. Yau, F. Zheng (1993)
Mathematische Zeitschrift
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Displaying similar documents to “Einstein metrics and quaternionic Kähler manifolds.”
On a borderline class of non-positively curved compact Kähler manifolds.
On Kähler-Einstein metrics on certain Kahler manifolds with C1 (M) > 0.
G. Tian (1987)
Inventiones mathematicae
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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.
Classifying Spaces for Kähler Metrics.
A. ADLER (1963)
Mathematische Annalen
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Classifying Spaces for Kähler Metrics IV: The Relation ....= 2 ? ... .
A.W. ADLER (1965)
Mathematische Annalen
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Deformation of Kähler matrics to Kähler-Eisenstein metrics on compact Kähler manifolds.
Huai-Dong Cao (1985)
Inventiones mathematicae
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On Deformations of Kähler Spaces. I.
Jürgen Bingener (1983)
Mathematische Zeitschrift
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On compact astheno-Kähler manifolds
Koji Matsuo, Takao Takahashi (2001)
Colloquium Mathematicae
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We prove that every compact balanced astheno-Kähler manifold is Kähler, and that there exists an astheno-Kähler structure on the product of certain compact normal almost contact metric manifolds.
On Hyper-Kähler Manifolds of Type A... .
R. Goto (1994)
Geometric and functional analysis
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Hyperbolicity of negatively curved Kähler manifolds.
M.J. Kreuzmann, P.-M. Wong (1990)
Mathematische Annalen
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Remarks on the Existence Problem of Positive Kähler-Einstein Metrics.
Wei-Yue Ding (1988)
Mathematische Annalen
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Classifying Spaces for Kähler Metrics II: Universal Laplacians and a Theorem of Chern.
A.W. ADLER (1964)
Mathematische Annalen
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Holomorphically pseudosymmetric Kähler metrics on ℂℙⁿ
Włodzimierz Jelonek (2012)
Colloquium Mathematicae
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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.
On the existence of pseudosymmetric Kähler manifolds
Zbigniew Olszak (2003)
Colloquium Mathematicae
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It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
Classifying Spaces for Kähler Metrics III: The First Chern Form and Isometric Imbeddings in Euclidean Spaces.
A. ADLER (1964)
Mathematische Annalen
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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.