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