A remark for fully non-linear elliptic equations on compact almost Hermitian manifolds
Analysis of PDEs
2025-06-23 v1 Differential Geometry
Abstract
In this paper, we generalize the definition of sub-slope, introduced by Guo-Song, to almost Hermitian manifolds and prove the existence of solutions for a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian quotient equation and the deformed Hermitian-Yang-Mills equation in the almost Hermitian setting.
Keywords
Cite
@article{arxiv.2506.16305,
title = {A remark for fully non-linear elliptic equations on compact almost Hermitian manifolds},
author = {Liding Huang},
journal= {arXiv preprint arXiv:2506.16305},
year = {2025}
}