Quaternionic-Kähler manifolds and conforrmal geometry.
Claude LeBrun (1989)
Mathematische Annalen
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Claude LeBrun (1989)
Mathematische Annalen
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Charles P. Boyer, K. Galicki, B. Mann (1994)
Journal für die reine und angewandte Mathematik
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Mangione, Vittorio (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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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.
Simon Salamon (1982)
Inventiones mathematicae
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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.
Habib Bouzir, Gherici Beldjilali, Mohamed Belkhelfa, Aissa Wade (2017)
Archivum Mathematicum
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The aim of this paper is two-fold. First, new generalized Kähler manifolds are constructed starting from both classical almost contact metric and almost Kählerian manifolds. Second, the transformation construction on classical Riemannian manifolds is extended to the generalized geometry setting.
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.
M.J. Kreuzmann, P.-M. Wong (1990)
Mathematische Annalen
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R. Goto (1994)
Geometric and functional analysis
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M. Levine (1983)
Inventiones mathematicae
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Benoît Claudon, Andreas Höring (2013)
Bulletin de la Société Mathématique de France
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In this appendix, we observe that Iitaka’s conjecture fits in the more general context of special manifolds, in which the relevant statements follow from the particular cases of projective and simple manifolds.
McKenzie Y. Wang (1992)
Mathematische Zeitschrift
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T. Napier, M. Ramachandran (1995)
Geometric and functional analysis
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