On Calabi extremal Kähler-Ricci solitons (Q2789878)
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scientific article; zbMATH DE number 6548691
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Calabi extremal Kähler-Ricci solitons |
scientific article; zbMATH DE number 6548691 |
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On Calabi extremal Kähler-Ricci solitons (English)
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2 March 2016
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extremal Kähler metrics
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Kähler-Ricci solitons
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Einstein manifolds
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holomorphic sectional curvature
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0.9413867
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0.9362875
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0.9304467
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0.92815167
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0.92810524
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0.92615956
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The authors study Kähler metrics which are both Calabi extremal and Kähler-Ricci solitons. Namely, for Kähler-Ricci solitons, they establish some characterizations of being extremal in terms of the length of the complex Hessian of its potential function and in terms of the Riemann curvature tensor. By means of these, they prove that any extremal Kähler-Ricci soliton with positive holomorphic sectional curvature is Einstein. Also, a condition is pointed out about the isometry group of a non-Einstein extremal Kähler-Ricci soliton.
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