Fully non-linear elliptic equations on compact almost Hermitian manifolds

Abstract

In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian equation and the Monge--Ampère equation for $(n-1)$-plurisubharmonic equations in the almost Hermitian setting.

References in corpus (4)

• Form-type Calabi-Yau equations on Kähler manifolds of nonnegative orthogonal bisectional curvature
• On uniform estimate of complex elliptic equations on closed Hermitian manifolds
• Complex Hessian Equation on Kähler Manifold
• Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds