The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds  

作　　者：Wanjun Ai Miaomiao Zhu 

机构地区：[1]School of Mathematics and Statistics,Southwest University,Chongqing 400715,China [2]School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《Science China Mathematics》2022年第8期1679-1706,共28页中国科学：数学（英文版）

基　　金：supported by the Fundamental Research Funds for the Central Universities(Grant No.SWU119064);supported by Shanghai Frontier Research Institute for Modern Analysis(IMA-Shanghai)and Innovation Program of Shanghai Municipal Education Commission(Grant No.2021-01-07-00-02-E00087)。

摘　　要：For a sequence of approximate Dirac-harmonic maps from a closed spin Riemann surface into a stationary Lorentzian manifold with uniformly bounded energy,we study the blow-up analysis and show that the Lorentzian energy identity holds.Moreover,when the targets are static Lorentzian manifolds,we prove the positive energy identity and the no neck property.

关 键 词：approximate Dirac-harmonic maps blow-up analysis no neck Lorentzian manifolds 

分 类 号：O186.12[理学—数学]