On a class of fully nonlinear elliptic equations on closed Hermitian manifolds

Abstract

We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. We derive $C^{\infty }$ {\em a priori} estimates, and then prove the existence of admissible solutions. In the approach, a new Hermitian metic is constructed to launch the method of continuity.

References in corpus (1)

• On the evolution of a Hermitian metric by its Chern-Ricci form

Cited by in corpus (1)

• Parabolic Flow for Generalized complex Monge-Ampère type equations