Integrality of characteristic numbers on complete Kähler manifolds.
Sai Kee Yeung (1991)
Mathematische Annalen
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Sai Kee Yeung (1991)
Mathematische Annalen
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Manuel Barros, Alfonso Romero (1982)
Mathematische Annalen
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Sai-Kee Yeung (1990)
Mathematische Zeitschrift
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Sai Kee Yeung (1991)
Inventiones mathematicae
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Wlodzimierz Jelonek (1996)
Mathematische Annalen
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Ken-ichi Sugiyama (1988)
Mathematische Annalen
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B. Wong (1987)
Mathematische Annalen
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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.
Wei-Yue Ding (1988)
Mathematische Annalen
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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.
S.-T. Yau, F. Zheng (1993)
Mathematische Zeitschrift
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K.-D. Kirchberg (1988)
Mathematische Annalen
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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.
Kouei Sekigawa, Takashi Oguro (1994)
Mathematische Annalen
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Jean Varouchas (1989)
Mathematische Annalen
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