凯勒流形上Yang-Mills-Higgs流的曲率估计  

Curvature estimate of the Yang-Mills-Higgs flow on Kähler manifolds

作　　者：沈正晗 Zhenghan Shen(School of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]南京理工大学数学与统计学院,江苏南京210094

出　　处：《中国科学技术大学学报》2022年第2期1-11,67,共12页JUSTC

基　　金：the National Key Research and Development Program of China(2020YFA0713100);the National Natural Science Founda-tion of China(12141104,11801535,11721101,11625106);the Fundamental Research Funds for the Central Universities.

摘　　要：主要研究紧致凯勒流形上Yang-Mills-Higgs流的曲率估计。在Higgs丛不是半稳定并且HarderNarasimhan-Seshadri滤过没有奇点长度为1的假设条件下,证明了与之相应的Hermitian度量对应的曲率是一致有界的。The curvature estimate of the Yang-Mills-Higgs flow on Higgs bundles over compact Kähler manifolds is studied.Under the assumptions that the Higgs bundle is non-semistable and the Harder-Narasimhan-Seshadri filtration has no singularities with length one,it is proved that the curvature of the evolved Hermitian metric is uniformly bounded.

关 键 词：Higgs丛 Harder-Narasimhan-Seshadri滤过 Yang-Mills-Higgs流 曲率估计 

分 类 号：O186.1[理学—数学]