TheStructure of Nearly Kähler Manifolds.
Alfred Gray (1976)
Mathematische Annalen
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Alfred Gray (1976)
Mathematische Annalen
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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.
Noboru Nakayama (1988)
Mathematische Annalen
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R. Goto (1994)
Geometric and functional analysis
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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.
A. ADLER (1963)
Mathematische Annalen
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A.W. ADLER (1965)
Mathematische Annalen
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Shing-Tung Yau, Jürgen Jost (1983)
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.
Zbigniew Olszak (2003)
Colloquium Mathematicae
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It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
Thomas Friedrich (1993)
Mathematische Annalen
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Koji Matsuo (2009)
Colloquium Mathematicae
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We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
Reese Harvey, H. Jr. Blaine Lawson (1983)
Inventiones mathematicae
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Claude LeBrun, Simon Salamon (1994)
Inventiones mathematicae
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M. Levine (1983)
Inventiones mathematicae
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