Nonlinear Dirac Operator and Quaternionic Analysis
Abstract
Properties of the CauchyRiemannFueter equation for maps between quaternionic manifolds are studied. Spaces of solutions in case of maps from a K3surface 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 CauchyRiemannFueter equation are established.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 July 2008
 DOI:
 10.1007/s0022000804451
 arXiv:
 arXiv:0706.0389
 Bibcode:
 2008CMaPh.281..251H
 Keywords:

 Mathematics  Differential Geometry;
 Mathematical Physics;
 53C43;
 53C26;
 58J99
 EPrint:
 Cosmetic changes only