Closed transverse -forms on compact complex manifolds
Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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Fernández, Marisa, Muñoz, Vicente, Santisteban, José A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Mustafa Özkan, Murat İşcan (2014)
Annales Polonici Mathematici
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A Walker 4-manifold is a pseudo-Riemannian manifold (M₄,g) of neutral signature, which admits a field of parallel null 2-planes. We study almost paracomplex structures on 4-dimensional para-Kähler-Walker manifolds. In particular, we obtain conditions under which these almost paracomplex structures are integrable, and the corresponding para-Kähler forms are symplectic. We also show that Petean's example of a nonflat indefinite Kähler-Einstein 4-manifold is a special case of our constructions. ...
Ryoichi Kobayashi, Shigetoshi Bando (1990)
Mathematische Annalen
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Vaisman, Izu (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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Daniel Guan (2009)
Open Mathematics
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This paper is one in a series generalizing our results in [12, 14, 15, 20] on the existence of extremal metrics to the general almost-homogeneous manifolds of cohomogeneity one. In this paper, we consider the affine cases with hypersurface ends. In particular, we study the existence of Kähler-Einstein metrics on these manifolds and obtain new Kähler-Einstein manifolds as well as Fano manifolds without Kähler-Einstein metrics. As a consequence of our study, we also give a solution to...
Kouei Sekigawa (1985)
Mathematische Annalen
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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 .
Koji Matsuo (2009)
Colloquium Mathematicae
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We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
F. Campana (1992)
Journal für die reine und angewandte Mathematik
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Andrew Swann (1991)
Mathematische Annalen
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