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20192023
most citedParabolic complex Monge-Ampère equations on compact Hermitian manifolds

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math.DG2023

The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature and Oeljeklaus-Toma manifolds

Shuang Liang, Xi Sisi Shen, Kevin Smith

We prove local Calabi and higher order estimates for solutions to the continuity equation introduced by La Nave-Tian and extended to Hermitian metrics by Sherman-Weinkove. We apply…