Some explicit constructions of Dirac-harmonic maps

Abstract

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

to appear in J. Geom. Phys

References in corpus (1)

• Liouville Theorems for Dirac-Harmonic Maps

Cited by in corpus (7)

• Dirac-harmonic maps from index theory
• The evolution equations for regularized Dirac-geodesics
• On the evolution of regularized Dirac-harmonic Maps from closed surfaces
• Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem
• Morse-Floer Theory for Super-quadratic Dirac-Geodesics
• J-holomorphic curves and Dirac-harmonic maps
• Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds