Communications in Mathematical Physics

, Volume 281, Issue 1, pp 251–261 | Cite as

Nonlinear Dirac Operator and Quaternionic Analysis

  • Andriy Haydys


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.


Manifold Vector Bundle Dirac Operator Cotangent Bundle Complex Projective Space 
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© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Fakultät für mathematikUniversität BielefeldBielefeldGermany

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