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arxiv: 0712.3164 · v1 · submitted 2007-12-19 · 🧮 math-ph · math.DG· math.MP

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Liouville Theorems for Dirac-Harmonic Maps

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classification 🧮 math-ph math.DGmath.MP
keywords dirac-harmonicliouvillemanifoldmapsriemannianspacetheoremseuclidean
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We prove Liouville theorems for Dirac-harmonic maps from the Euclidean space $\R^n$, the hyperbolic space $\H^n$ and a Riemannian manifold $\mathfrak{S^n}$ ($n\geq 3$) with the Schwarzschild metric to any Riemannian manifold $N$.

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