The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds

Abstract

In this paper, we consider the deformed Hermitian-Yang-Mills equation on closed almost Hermitian manifolds. In the case of hypercritical phase, we derive a priori estimates under the existence of an admissible $\mathcal{C}$-subsolution. As an application, we prove the existence of solutions for the deformed Hermitian-Yang-Mills equation under the condition of existence of a supersolution.

References in corpus (1)

• The $2$-nd Hessian type equation on almost Hermitian manifolds

Cited by in corpus (2)

• Deformed Hermitian-Yang-Mills Equation on Compact Hermitian Manifolds
• Second order estimates for fully nonlinear elliptic equations with gradient terms on Hermitian manifolds