Self-dual Kähler manifolds and Einstein manifolds of dimension four
Andrzej Derdziński (1983)
Compositio Mathematica
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Andrzej Derdziński (1983)
Compositio Mathematica
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Sakane, Y. (1999)
Lobachevskii Journal of Mathematics
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Lemence, R.S., Oguro, T., Sekigawa, K. (2004)
International Journal of Mathematics and Mathematical Sciences
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Philippe Delanoë (1990)
Compositio Mathematica
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G. Tian (1987)
Inventiones mathematicae
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Moroianu, Andrei (1997)
General Mathematics
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A. Futaki (1983)
Inventiones mathematicae
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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.
Georgi Ganchev, Vesselka Mihova (2008)
Open Mathematics
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The Kähler manifolds of quasi-constant holomorphic sectional curvatures are introduced as Kähler manifolds with complex distribution of codimension two, whose holomorphic sectional curvature only depends on the corresponding point and the geometric angle, associated with the section. A curvature identity characterizing such manifolds is found. The biconformal group of transformations whose elements transform Kähler metrics into Kähler ones is introduced and biconformal tensor invariants...