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The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds |
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| Authors: | Ai Wanjun Zhu Miaomiao |
| Institution: | 1.School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China ;2.School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, 200240, China ; |
| Abstract: | 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. |
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