Boundary blow-up analysis for approximate Dirac-harmonic maps into stationary Lorentzian manifolds  

作　　者：Wanjun Ai Lei Liu Miaomiao Zhu 

机构地区：[1]School of Mathematics and Statistics,Southwest University,Chongqing 400715,China [2]School of Mathematics and Statistics and Hubei Key Laboratory of Mathematical Sciences,Central China Normal University,Wuhan 430079,China [3]School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《Science China Mathematics》2025年第3期649-676,共28页中国科学(数学英文版)

基　　金：supported by National Natural Science Foundation of China (Grant No. 12201515);the Natural Science Foundation of Chongqing, China (Grant No. cstc2021jcyj-msxmX1058);the China Scholarship Council (Grant No. 202206995009);supported by National Natural Science Foundation of China (Grant No. 12101255).;supported by Innovation Program of Shanghai Municipal Education Commission (Grant No. 2021-01-07-00-02-E00087);National Natural Science Foundation of China (Grant No. 12171314);Shanghai Frontier Science Center of Modern Analysis。

摘　　要：For a sequence of approximate Dirac-harmonic maps from a Riemannian surface with a smooth boundary into a stationary Lorentzian manifold, we study the boundary blow-up analysis and prove the positive energy identity for spinors and the Lorentzian energy identity for maps. Moreover, the positive energy identity for maps holds when the target is a static Lorentzian manifold.

关 键 词：Dirac-harmonic maps boundary regularity BLOW-UP Lorentzian manifolds 

分 类 号：O186.12[理学—数学]