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arXiv · 2603.19405

An improvement of regularity result for pseudo Calabi flow

Jingrui Cheng·Junhao Tian
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Abstract

In this paper, we observe that if the initial data of pseudo Calabi flow has volume form $C^0$ close to a smooth one, then the flow is immediately smooth for $t>0$. As an application, we show that if the initial data has volume form $C^0$ close to that of a cscK metric, then the pseudo Calabi flow exists for $t\in (0,+\infty)$. We also prove similar improvement of regularity and long time existence result for pseudo Calabi flow on a Fano manifold when the volume form is bounded and the class is close to $c_1(M)$.

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Jingrui Cheng, Junhao Tian. 2026-03-19. An improvement of regularity result for pseudo Calabi flow. https://arxiv.org/abs/2603.19405

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