$C^{2,\alpha }$-estimate for conical Kähler-Ricci flow

Abstract

We establish a parabolic version of Tian's $C^{2,\alpha }$-estimate for conical complex Monge-Ampere equations, which includes conical Kähler-Einstein metrics. Our estimate will complete the proof of the existence of unnormalized conical Kähler-Ricci flow in arXiv:1411.7284.

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Cited by in corpus (5)

• On the Yau-Tian-Donaldson conjecture for singular Fano varieties
• The conical Kähler-Ricci flow with weak initial data on Fano manifold
• Kähler-Ricci flow of cusp singularities on quasi projective varieties
• Metric contraction of the cone divisor by the conical Kähler-Ricci flow
• Smoothing conic Kähler metrics with uniformly upper bisectional curvature bound