Estimates for a function on almost Hermitian manifolds

Abstract

We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.

Keywords

• almost hermitian metric
• almost complex manifold
• chern connection
• 32q60 (primary)
• 53c15
• 53c55 (secondary)