On uniform estimate of complex elliptic equations on closed Hermitian manifolds
Analysis of PDEs
2015-02-11 v2 Complex Variables
Differential Geometry
Abstract
In this paper, we study Hessian equations and complex quotient equations on closed Hermitian manifolds. We directly derive the uniform estimate for the admissible solution. As an application, we solve general Hessian equations on closed K\"ahler manifolds.
Keywords
Cite
@article{arxiv.1412.5001,
title = {On uniform estimate of complex elliptic equations on closed Hermitian manifolds},
author = {Wei Sun},
journal= {arXiv preprint arXiv:1412.5001},
year = {2015}
}