The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds

作     者：Liding Huang Jiaogen Zhang Xi Zhang Liding Huang;Jiaogen Zhang;Xi Zhang

作者机构：School of Mathematical SciencesUniversity of Science and Technology of ChinaHefei 230026China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2022年第65卷第1期

页      面：127-152页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the project“Analysis and Geometry on Bundle”of Ministry of Science and Technology of the People’s Republic of China(Grant No.SQ2020YFA070080) National Natural Science Foundation of China(Grant Nos.11625106,11571332 and 11721101) 

主　　题：deformed Hermitian-Yang-Mills equation almost Hermitian manifold maximum principle a priori estimates 

摘      要：In this paper,we consider the deformed Hermitian-Yang-Mills equation on closed almost Hermitian *** the case of the hypercritical phase,we derive a priori estimates under the existence of an admissible *** an application,we prove the existence of solutions for the deformed Hermitian-Yang-Mills equation under the condition of existence of a supersolution.