Nonlinear Dirac operator and quaternionic analysis
arXiv:0706.0389 · doi:10.1007/s00220-008-0445-1
Abstract
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.
Cosmetic changes only