Harmonic morphisms and the Jacobi operator

Stefano Montaldo; John C. Wood

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arXiv · math/9910180

Harmonic morphisms and the Jacobi operator

Stefano Montaldo·John C. Wood

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Abstract

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.

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BibTeX RIS

Stefano Montaldo, John C. Wood. 1999-11-01. Harmonic morphisms and the Jacobi operator. https://arxiv.org/abs/math/9910180

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