Steinness of universal covers of certain compact Kähler manifolds.
Ngaiming Mok (1997)
Journal für die reine und angewandte Mathematik
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Ngaiming Mok (1997)
Journal für die reine und angewandte Mathematik
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Alexander Schmitt (1996)
Journal für die reine und angewandte Mathematik
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F. Campana (1992)
Journal für die reine und angewandte Mathematik
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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.
Andrew S. Dancer (1996)
Journal für die reine und angewandte Mathematik
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R. Goto (1994)
Geometric and functional analysis
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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.
Charles P. Boyer, K. Galicki, B. Mann (1994)
Journal für die reine und angewandte Mathematik
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Jongsu Kim, C., Pontecorvo, M. LeBrun (1997)
Journal für die reine und angewandte Mathematik
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C.M. Wood (1993)
Journal für die reine und angewandte Mathematik
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Zbigniew Olszak (2003)
Colloquium Mathematicae
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It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
Claude LeBrun, Simon Salamon (1994)
Inventiones mathematicae
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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...
M. Levine (1983)
Inventiones mathematicae
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M.J. Kreuzmann, P.-M. Wong (1990)
Mathematische Annalen
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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.