Addendum to: A Reduction Theorem for Cohomology Groups of Very Strongly q-Convex Kähler Manifolds.
Takeo Ohsawa (1982)
Inventiones mathematicae
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Displaying similar documents to “On Strongly Pseudo-convex Kähler Manifolds.”
Addendum to: A Reduction Theorem for Cohomology Groups of Very Strongly q-Convex Kähler Manifolds.
Pluri-canonical divisors on Kähler manifolds.
M. Levine (1983)
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Reese Harvey, H. Jr. Blaine Lawson (1983)
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Quaternionic Kähler Manifolds.
Simon Salamon (1982)
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Claude LeBrun, Simon Salamon (1994)
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Koji Matsuo, Takao Takahashi (2001)
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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.
A Reduction Theorem for Cohomology Groups of Very Strongly q-convex Kähler Manifolds.
Takeo Ohsawa (1981)
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Akira Fujiki (1978)
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Hyperbolicity of negatively curved Kähler manifolds.
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Strongly not relatives Kähler manifolds
Michela Zedda (2017)
Complex Manifolds
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In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the multiplication by a positive constant. We prove two results which highlight some relations between this property and the existence of a full Kähler immersion into the infinite dimensional complex projective space. As application we get that...
Compact lcK manifolds with parallel vector fields
Andrei Moroianu (2015)
Complex Manifolds
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We show that for n > 2 a compact locally conformally Kähler manifold (M2n , g, J) carrying a nontrivial parallel vector field is either Vaisman, or globally conformally Kähler, determined in an explicit way by a compact Kähler manifold of dimension 2n − 2 and a real function.
Classification of compact homogeneous pseudo-Kähler manifolds.
J. Dorfmeister, Zhuang-Dan Guan (1992)
Commentarii mathematici Helvetici
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Cegrell classes on compact Kähler manifolds
Sławomir Dinew (2007)
Annales Polonici Mathematici
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We study Cegrell classes on compact Kähler manifolds. Our results generalize some theorems of Guedj and Zeriahi (from the setting of surfaces to arbitrary manifolds) and answer some open questions posed by them.