An intrinsic characterization of Kähler manifolds.
Reese Harvey, H. Jr. Blaine Lawson (1983)
Inventiones mathematicae
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Reese Harvey, H. Jr. Blaine Lawson (1983)
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M. Levine (1983)
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Simon Salamon (1982)
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Claude LeBrun, Simon Salamon (1994)
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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.
P., Griffiths, P. Deligne, J. Morgan (1975)
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R. Goto (1994)
Geometric and functional analysis
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G. Tian (1987)
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D. Kotschick (2012)
Annales de l’institut Fourier
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We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kähler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kähler compact complex surface is or .