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MiS Preprint
66/2014
Gradient Estimates and Liouville Theorems for Dirac-harmonic maps
Qun Chen, Jürgen Jost and Linlin Sun
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.