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arXiv · 0706.0389

Nonlinear Dirac operator and quaternionic analysis

Andriy Haydys
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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.

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Andriy Haydys. 2008-05-30. Nonlinear Dirac operator and quaternionic analysis. https://doi.org/10.1007/s00220-008-0445-1

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