On Kähler-Einstein metrics on certain Kahler manifolds with C1 (M) > 0.
G. Tian (1987)
Inventiones mathematicae
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Displaying similar documents to “Geometry of Kähler metrics and foliations by holomorphic discs”
On Kähler-Einstein metrics on certain Kahler manifolds with C1 (M) > 0.
Compact holomorphically pseudosymmetric Kähler manifolds
Włodzimierz Jelonek (2009)
Colloquium Mathematicae
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The aim of this paper is to present the first examples of compact, simply connected holomorphically pseudosymmetric Kähler manifolds.
On Deformations of Kähler Spaces. I.
Jürgen Bingener (1983)
Mathematische Zeitschrift
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Kähler-Einstein metrics and the generalized Futaki invariant.
Weiyue Ding, Gang Tian (1992)
Inventiones mathematicae
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On the existence of bounded holomorphic functions on complete Kähler manifolds.
John S. Bland (1985)
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 It will be reported, based on still unpublished papers of the author, that the Hartogs type extension theorem holds in the following two cases: 1) M is Kähler and ∂Ω is C²-smooth and not Levi flat; 2) M is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...
Some Kähler structures on the tangent bundle of a space form.
Oproiu, V. (1997)
General Mathematics
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A Geometry of Kähler Cones.
Ken-ichi Sugiyama (1988)
Mathematische Annalen
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Holomorphic Cartan geometries and rational curves
Indranil Biswas, Benjamin McKay (2016)
Complex Manifolds
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We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold. This shows that many complex manifolds admit no or few holomorphic Cartan geometries.
Closed transverse -forms on compact complex manifolds
Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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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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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.
Twistor Holomorphic Immersions of Real Surfaces Into Kähler Surface.
Thomas Fiedler (1988)
Mathematische Annalen
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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.