# Regularity of A Complex Monge-Amp\{e}re Equation on Hermitian Manifolds

Authors
Type
Preprint
Publication Date
Nov 18, 2013
Submission Date
Nov 18, 2013
Identifiers
arXiv ID: 1311.4463
Source
arXiv
We obtain higher order estimates for a parabolic flow on a compact Hermitian manifold. As an application, we prove that a bounded $\hat{\omega}$-plurisubharmonic solution of an elliptic complex Monge-Amp\{e}re equation is smooth under an assumption on the background Hermitian metric $\hat{\omega}$. This generalizes a result of Sz\'{e}kelyhidi and Tosatti on K\"{a}hler manifolds.