The geometry and topology of 3-Sasakian manifolds.
Charles P. Boyer, K. Galicki, B. Mann (1994)
Journal für die reine und angewandte Mathematik
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Charles P. Boyer, K. Galicki, B. Mann (1994)
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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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.
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.
Kang Zuo (1996)
Journal für die reine und angewandte Mathematik
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Simon Salamon (1982)
Inventiones mathematicae
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Jaak Peetre, Miroslav Englis (1996)
Journal für die reine und angewandte Mathematik
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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.
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...
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.
M.J. Kreuzmann, P.-M. Wong (1990)
Mathematische Annalen
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T. Napier, M. Ramachandran (1995)
Geometric and functional analysis
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F. Compana (1989)
Journal für die reine und angewandte Mathematik
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M. Levine (1983)
Inventiones mathematicae
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Mangione, Vittorio (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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