Hessian equations on closed Hermitian manifolds
Dekai Zhang
TL;DR
This paper solves the complex Hessian equation on closed Hermitian manifolds, extending previous results from the Kähler case to a more general setting using advanced technical tools.
Contribution
It generalizes the solution of the complex Hessian equation from Kähler to Hermitian manifolds, broadening the scope of geometric analysis in complex geometry.
Findings
Successfully solved the complex Hessian equation on closed Hermitian manifolds.
Extended previous Kähler case results to more general Hermitian manifolds.
Utilized advanced techniques from prior work to achieve the solution.
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 K\"ahler case results in \cite{HMW} and \cite{DK}.
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