Hessian equations on closed Hermitian manifolds

Abstract

In this paper, using the technical tools in \cite{TW5}, we solve the complex Hessian equation on closed Hermitian manifolds, which generalizes the the Kähler case results in \cite{HMW} and \cite{DK}.

26 pages

References in corpus (1)

• The Fu-Yau equation with negative slope parameter

Cited by in corpus (3)

• Transverse Fully Nonlinear Equations on Sasakian Manifolds and Applications
• Complex Hessian measures with respect to a background Hermitian form
• Monge-Ampère type equations on almost Hermitian manifolds