Energy identity and necklessness for α-Dirac-harmonic maps into a sphere

作者：Li, Jiayu; Liu, Lei; Zhu, Chaona; Zhu, Miaomiao^*

来源：Calculus of Variations and Partial Differential Equations, 2021, 60(4): 146.

DOI：10.1007/s00526-021-02019-0

• 53C43
• 58E20

Let (phi alpha,psi alpha) be a sequence of alpha -Dirac-harmonic maps from a Riemann surface M to a compact Riemannian manifold N with uniformly bounded energy. If the target N is a sphere SK-1, we show that the energy identity and necklessness hold during the interior blow-up process as alpha SE arrow 1 for such a sequence .

• 单位
  中国科学院; 上海交通大学