Liouville Theorems for Dirac-Harmonic Maps

Abstract

We prove Liouville theorems for Dirac-harmonic maps from the Euclidean space ${\mathbb{R}}^n$, the hyperbolic space $\H^n$ and a Riemannian manifold ${\mathfrak{S}}^{\mathfrak{n}}$ ($n\ge 3$) with the Schwarzschild metric to any Riemannian manifold $N$.

to appear in J.Math.Phys