Nonlinear Dirac operator and quaternionic analysis

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

10.1007/s00220-008-0445-1

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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