Nonlinear Dirac operator and quaternionic analysis

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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.
Cosmetic changes only

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Differential Geometry, Mathematical Physics, 53C43; 53C26; 58J99

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http://salesiana.dossiersoluciones.com/handle/123456789/161823

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.0389
 http://arxiv.org/abs/0706.0389
 Commun. Math. Phys. 281, 251-261 (2008)
 doi:10.1007/s00220-008-0445-1

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arXiv