Sasakian geometry, hypersurface singularities, and Einstein metrics
Boyer, Charles P., Galicki, Krzysztof
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Boyer, Charles P., Galicki, Krzysztof
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A. Futaki (1983)
Inventiones mathematicae
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G. Tian (1987)
Inventiones mathematicae
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Wei-Yue Ding (1988)
Mathematische Annalen
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P. Topiwala (1987)
Inventiones mathematicae
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Andrzej Derdziński (1983)
Compositio Mathematica
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Daniele Angella, Cristiano Spotti (2017)
Complex Manifolds
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We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for the SMI course "Kähler-Einstein metrics" given by C.S. in Cortona (Italy), May 2017. The material is not intended to be original.
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.
P. Topiwala (1987)
Inventiones mathematicae
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Wafaa Batat, P. M. Gadea, Jaime Muñoz Masqué (2012)
Annales Polonici Mathematici
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The homogeneous quaternionic Kähler structures on the Alekseevskian 𝒲-spaces with their natural quaternionic structures, each of these spaces described as a solvable Lie group, and the type of such structures in Fino's classification, are found.
Ryoichi Kobayashi, Shigetoshi Bando (1990)
Mathematische Annalen
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