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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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