Scalar-flat Kähler surfaces of all genera.
Jongsu Kim, C., Pontecorvo, M. LeBrun (1997)
Journal für die reine und angewandte Mathematik
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Jongsu Kim, C., Pontecorvo, M. LeBrun (1997)
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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Yann Rollin, Michael Singer (2009)
Journal of the European Mathematical Society
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Claude LeBrun, Michael Singer (1993)
Inventiones mathematicae
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Yum-Tong Siu, Paul Yang (1981)
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Andrew S. Dancer (1996)
Journal für die reine und angewandte Mathematik
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P. Topiwala (1987)
Inventiones mathematicae
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Guilfoyle, Brendan, Klingenberg, Wilhelm (2008)
Beiträge zur Algebra und Geometrie
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Włodzimierz Jelonek (2007)
Annales Polonici Mathematici
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The aim of this paper is to investigate the class of compact Hermitian surfaces (M,g,J) admitting an action of the 2-torus T² by holomorphic isometries. We prove that if b₁(M) is even and (M,g,J) is locally conformally Kähler and χ(M) ≠ 0 then there exists an open and dense subset U ⊂ M such that is conformally equivalent to a 4-manifold which is almost Kähler in both orientations. We also prove that the class of Calabi Ricci flat Kähler metrics related with the real Monge-Ampère equation...
Ryoichi Kobayashi (1985)
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.
Huai-Dong Cao (1985)
Inventiones mathematicae
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Włodzimierz Jelonek (2012)
Colloquium Mathematicae
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The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.
Sai-Kee Yeung (1990)
Inventiones mathematicae
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G. Tian (1987)
Inventiones mathematicae
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