Every K3 Surface is Kähler.
Y.-T. Siu (1983)
Inventiones mathematicae
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Displaying similar documents to “First Pontrjagin form, rigidity and strong rigidity of nonpositively curved Kähler surface of general type.”
Every K3 Surface is Kähler.
On Deformations of Kähler Spaces. I.
Jürgen Bingener (1983)
Mathematische Zeitschrift
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Self-duality of Kähler surfaces
Mitsuhiro Itoh (1984)
Compositio Mathematica
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On a borderline class of non-positively curved compact Kähler manifolds.
S.-T. Yau, F. Zheng (1993)
Mathematische Zeitschrift
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Area-stationary surfaces in neutral Kähler 4-manifolds.
Guilfoyle, Brendan, Klingenberg, Wilhelm (2008)
Beiträge zur Algebra und Geometrie
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Compactification of complete Kähler surfaces with negative Ricci curvature.
Sai-Kee Yeung (1990)
Inventiones mathematicae
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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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Some simple examples of almost Kähler non-Kähler structures.
Wlodzimierz Jelonek (1996)
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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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.
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.
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.
An extension theorem for Kähler currents with analytic singularities
Tristan C. Collins, Valentino Tosatti (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove an extension theorem for Kähler currents with analytic singularities in a Kähler class on a complex submanifold of a compact Kähler manifold.