Harmonic morphisms and the Jacobi operator

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We prove that harmonic morphisms preserve the Jacobi operator along harmonic maps. We apply this result to prove infinitesimal and local rigidity (in the sense of Toth) of harmonic morphisms to a sphere.
10 pages

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Differential Geometry, 58E20

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http://salesiana.dossiersoluciones.com/handle/123456789/79315

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9910180
 http://arxiv.org/abs/math/9910180

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arXiv