Abstract

We construct explicit examples of Dirac-harmonic maps ( ϕ , ψ ) between Riemannian manifolds ( M , g ) and ( N , g ′ ) which are non-trivial in the sense that ϕ is not harmonic. When dim M = 2 , we also produce examples where ϕ is harmonic, but not conformal, and ψ is non-trivial.

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