On the Extension of the Calabi Flow on Toric Varieties
classification
🧮 math.DG
keywords
calabiflowtoricextensionassumptionscomplexconstantcurvature
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Inspired by recent work of S. K. Donaldson on constant scalar curvature metrics on toric complex surfaces, we study obstructions to the extension of the Calabi flow on a polarized toric variety. Under some technical assumptions, we prove that the Calabi flow can be extended for all time.
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