Nonlinear Dirac Operator and Quaternionic Analysis

@article{Haydys2008NonlinearDO,
  title={Nonlinear Dirac Operator and Quaternionic Analysis},
  author={Andriy Haydys},
  journal={Communications in Mathematical Physics},
  year={2008},
  volume={281},
  pages={251-261}
}
  • Andriy Haydys
  • Published 2008
  • Mathematics, Physics
  • Properties of the Cauchy–Riemann–Fueter equation for maps between quaternionic manifolds are studied. Spaces of solutions in case of maps from a K3–surface to the cotangent bundle of a complex projective space are computed. A relationship between harmonic spinors of a generalized nonlinear Dirac operator and solutions of the Cauchy–Riemann–Fueter equation are established. 

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