Some explicit constructions of Dirac-harmonic maps

Details Some explicit constructions of Dirac-harmonic maps Some explicit constructions of Dirac-harmonic maps

2009-08-24

arxiv.org/abs/0908.3414v1

J. Geom. Phys. 59 (2009), no. 11, 1512-1527

Mathematics

Differential Geometry

to appear in J. Geom. Phys

Scientific paper

10.1016/j.geomphys.2009.07.011

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.

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