DOI: 10.1112/jlms.70746 ISSN: 0024-6107

Regularity of solutions to Monge–Ampère equations on compact Hermitian manifolds

Quang‐Tuan Dang
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Abstract

We study the stability and Hölder continuity of solutions to degenerate complex Monge–Ampère equations associated with a nonclosed big ‐form on compact Hermitian manifolds. We also show that the solution is globally continuous when the reference form is the pullback of a Hermitian metric. As a consequence, we establish a uniform diameter bound for the twisted Chern–Ricci flow.

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