On the Extension of the Calabi Flow on Toric Varieties

Abstract

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.

Cited by in corpus (2)

• Convergence of the calabi flow on toric varieties and related Kaehler manifolds
• On the extension and smoothing of the Calabi flow on complex tori