Resumen de Some rigidity results for Dirac-harmonic maps

Mo Xiaohuan

• Year: 2010 Vol.: 77 Fasc.: 3-4 Title: Some rigidity results for Dirac-harmonic maps Author(s): Xiaohuan Mo Let (Á; Ã) be a Dirac-harmonic maps from a Riemannian manifold into another Riemannian manifold. We call (Á; Ã) trivial if Á is harmonic. By using Bochner-type formula and extending Chen{Jost{Li{Wang' result, we give some su±cient conditions for a Dirac-harmonic map (Á; Ã) to be trivial. We also give a structure theorem of Dirac-harmonic maps from a Riemann surface generalizing result previously only known in the case when source manifold is a two sphere.

  Address:

  Xiaohuan Mo Key Laboratory of Pure and Applied Mathematics School of Mathematical Sciences Peking University Beijing 100871 China E-mail: moxh@pku.edu.cn