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.

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Cited by in corpus (3)

• Deformed Hermitian-Yang-Mills Equation on Compact Hermitian Manifolds
• A new flow solving the LYZ equation in Kähler geometry
• Second order estimates for fully nonlinear elliptic equations with gradient terms on Hermitian manifolds