Derivative estimates of pluriclosed flow

Yanan Ye

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arXiv · 2308.14600

Derivative estimates of pluriclosed flow

Yanan Ye

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Abstract

We provide a derivative estimate for the pluriclosed flow, controlling higher order derivatives of Chern curvature and torsion using the Chern curvature. Moreover, we derive an estimate for torsion tensor using Chern Ricci curvature in dimension two. And in the Hermitian-symplectic case, we find a monotonic quantity and use it to prove that all Hermitian-symplectic solitons are K\"ahler Ricci solitons.

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Yanan Ye. 2023-08-28. Derivative estimates of pluriclosed flow. https://arxiv.org/abs/2308.14600

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