Calabi flow on toric varieties with bounded Sobolev constant, I
Let (X, P) be a toric variety. In this note, we show that the C0-norm of the Calabi flow φ(t) on X is uniformly bounded in [0, T) if the Sobolev constant of φ(t) is uniformly bounded in [0, T). We also show that if (X, P) is uniform K-stable, then the modified Calabi flow converges exponentially fas...
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-08-01
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| Series: | Complex Manifolds |
| Online Access: | http://www.degruyter.com/view/j/coma.2016.3.issue-1/coma-2016-0009/coma-2016-0009.xml?format=INT |