Monge-Ampère type equations on almost Hermitian manifolds

Abstract

In this paper, we consider the Monge-Ampère type equations on compact almost Hermitian manifolds. We derive $C^{\infty }$ a priori estimates under the existence of an admissible $\mathcal{C}$-subsolution. Finally, we obtain an existence result if there exists an admissible supersolution.

References in corpus (2)

• The Monge-Ampère equation for non-integrable almost complex structures
• Hessian equations on closed Hermitian manifolds