Jacobi fields along harmonic maps

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We show that Jacobi fields along harmonic maps between suitable spaces preserve conformality, holomorphicity, real isotropy and complex isotropy to first order; this last being one of the key tools in the proof by Lemaire and the author of integrability of Jacobi fields along harmonic maps from the 2-sphere to the complex projective plane.
Latex 2e,16 pages, Paper presented at the Mathematical Society of Japan 9th International Research Institute: `Integrable Systems in Differential Geometry', 17-21 July 2000, University of Tokyo

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Differential Geometry, 53C43; 58E20

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http://salesiana.dossiersoluciones.com/handle/123456789/61284

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104123
 http://arxiv.org/abs/math/0104123

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arXiv