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 energ...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.展开更多
We consider the gauge transformations of a metricG-bundle over a compact Riemannian surface with boundary.By employing the heat flow method,the local existence and the long time existence of generalized solution are p...We consider the gauge transformations of a metricG-bundle over a compact Riemannian surface with boundary.By employing the heat flow method,the local existence and the long time existence of generalized solution are proved.展开更多
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)。
文摘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.
文摘We consider the gauge transformations of a metricG-bundle over a compact Riemannian surface with boundary.By employing the heat flow method,the local existence and the long time existence of generalized solution are proved.
