Some explicit constructions of Dirac-harmonic maps

Jürgen Jost, Xiaohuan Mo, and Miaomiao Zhu

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Submission date: 24. Aug. 2009
Pages: 28
published in: Journal of geometry and physics, 59 (2009) 11, p. 1512-1527 
DOI number (of the published article): 10.1016/j.geomphys.2009.07.011
Bibtex
MSC-Numbers: 58E20
Keywords and phrases: Dirac-harmonic map, twistor spinor, totally umbilical
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Abstract:
We construct explicit examples of Dirac-harmonic maps between Riemannian manifolds (M,g) and (N,g') which are non-trivial in the sense that is not harmonic. When , we also produce examples where is harmonic, but not conformal, and is non-trivial.