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Some explicit constructions of Dirac-harmonic maps

Authors
Journal
Journal of Geometry and Physics
0393-0440
Publisher
Elsevier
Publication Date
Volume
59
Issue
11
Identifiers
DOI: 10.1016/j.geomphys.2009.07.011
Keywords
  • Dirac-Harmonic Map
  • Twistor Spinor
  • Totally Umbilical

Abstract

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

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