Nonlinear Dirac operator and quaternionic analysis
Differential Geometry
2008-05-30 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0706.0389,
title = {Nonlinear Dirac operator and quaternionic analysis},
author = {Andriy Haydys},
journal= {arXiv preprint arXiv:0706.0389},
year = {2008}
}