Construction of Kähler surfaces with constant scalar curvature
Yann Rollin, Michael Singer (2009)
Journal of the European Mathematical Society
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Yann Rollin, Michael Singer (2009)
Journal of the European Mathematical Society
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Sai-Kee Yeung (1990)
Inventiones mathematicae
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Zbigniew Olszak (2003)
Colloquium Mathematicae
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It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
Claude LeBrun (1991)
Journal für die reine und angewandte Mathematik
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Sai Kee Yeung (1995)
Journal für die reine und angewandte Mathematik
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R. Goto (1994)
Geometric and functional analysis
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Jongsu Kim, C., Pontecorvo, M. LeBrun (1997)
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.
S.-T. Yau, F. Zheng (1993)
Mathematische Zeitschrift
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Simone Calamai, David Petrecca (2017)
Complex Manifolds
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In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.
Claude LeBrun, Simon Salamon (1994)
Inventiones mathematicae
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Julien Keller, Christina Tønnesen-Friedman (2012)
Open Mathematics
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We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.
Sai-Kee Yeung (1990)
Mathematische Zeitschrift
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Fangyang Zheng (1995)
Mathematische Zeitschrift
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Huai-Dong Cao (1985)
Inventiones mathematicae
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Włodzimierz Jelonek (2014)
Colloquium Mathematicae
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The aim of this paper is to describe all Kähler manifolds with quasi-constant holomorphic sectional curvature with κ = 0.