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MiS Preprint
51/2009

Some explicit constructions of Dirac-harmonic maps

Jürgen Jost, Xiaohuan Mo and Miaomiao Zhu

Abstract

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

Received:
Aug 24, 2009
Published:
Aug 24, 2009
MSC Codes:
58E20
Keywords:
Dirac-harmonic map, twistor spinor, totally umbilical

Related publications

inJournal
2009 Repository Open Access
Jürgen Jost, Xiaohuan Mo and Miaomiao Zhu

Some explicit constructions of Dirac-harmonic maps

In: Journal of geometry and physics, 59 (2009) 11, pp. 1512-1527