A Note on Curvature Estimate of the Hermitian–Yang–Mills Flow Dedicated to celebrate the Sixtieth anniversary of USTC  

作　　者：Jiayu Li Chuanjing Zhang Xi Zhang 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,People’s Republic of China [2]AMSS,CAS,Beijing 100080,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2018年第3期319-358,共40页数学与统计通讯（英文）

基　　金：supported in part by NSF in China,Nos.11625106,11571332,and 11721101.

摘　　要：In this paper,we study the curvature estimate of the Hermitian–Yang–Mills flow on holomorphic vector bundles.In one simple case,we show that the curvature of the evolved Hermitian metric is uniformly bounded away from the analytic subvariety determined by the Harder–Narasimhan–Seshadri filtration of the holomorphic vector bundle.

关 键 词：Holomorphic structure Harder-Narasimhan-Seshadri filtration Hermitian-Yang-Mills flow 

分 类 号：O17[理学—数学]