Gradient estimates and Liouville theorems for Dirac-harmonic maps.

Abstract: In this paper, we derive gradient estimates for Dirac-harmonic maps from complete Riemannian spin manifolds into regular balls in Riemannian manifolds. With these estimates, we can prove Liouville theorems for Dirac-harmonic maps under curvature or energy conditions. [Copyright &y& Elsevier]