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 “An Obstruction to the Existence of Einstein Kähler Metrics.”
A new proof of the existence of Kähler-Einstein metrics on K3, I.
A new proof of the existence of Kähler-Einstein metrics on A3, II.
P. Topiwala (1987)
Inventiones mathematicae
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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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Remarks on the Existence Problem of Positive Kähler-Einstein Metrics.
Wei-Yue Ding (1988)
Mathematische Annalen
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Kähler-Einstein metrics and the generalized Futaki invariant.
Weiyue Ding, Gang Tian (1992)
Inventiones mathematicae
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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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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.
An intrinsic characterization of Kähler manifolds.
Reese Harvey, H. Jr. Blaine Lawson (1983)
Inventiones mathematicae
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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.
Special spinors and contact geometry.
Moroianu, Andrei (1997)
General Mathematics
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Einstein Metrics and Complex Structures.
N. Koiso (1983)
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.
Hyper Kähler and quaternionic Kähler geometry.
Andrew Swann (1991)
Mathematische Annalen
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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...
ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds
Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep (2007)
Annales Polonici Mathematici
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We establish some results on ω-pluripolarity and complete ω-pluripolarity for sets in a compact Kähler manifold X with fundamental form ω. Moreover, we study subextension of ω-psh functions on a hyperconvex domain in X and prove a comparison principle for the class 𝓔(X,ω) recently introduced and investigated by Guedj-Zeriahi.