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MiS Preprint
43/2007
Liouville Theorems for Dirac-Harmonic Maps
Qun Chen, Jürgen Jost and Guofang Wang
Abstract
We prove Liouville theorems for Dirac-harmonic maps from the Euclidean space $\mathbb{R}^n$, the hyperbolic space $\mathbb{H}^n$ and a Riemannian manifold $\mathfrak{S^n}$ ($n\geq 3$) with the Schwarzschild metric to any Riemannian manifold $N$.