The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds
Differential Geometry
2020-12-01 v1 Analysis of PDEs
Abstract
In this paper, we consider the deformed Hermitian-Yang-Mills equation on closed almost Hermitian manifolds. In the case of hypercritical phase, we derive a priori estimates under the existence of an admissible -subsolution. As an application, we prove the existence of solutions for the deformed Hermitian-Yang-Mills equation under the condition of existence of a supersolution.
Keywords
Cite
@article{arxiv.2011.14091,
title = {The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds},
author = {Liding Huang and Jiaogen Zhang and Xi Zhang},
journal= {arXiv preprint arXiv:2011.14091},
year = {2020}
}