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arxiv: math/9910180 · v1 · submitted 1999-11-01 · 🧮 math.DG

Harmonic morphisms and the Jacobi operator

Stefano Montaldo , John C. Wood This is my paper
classification 🧮 math.DG
keywords harmonicmorphismsjacobioperatorprovealongapplyinfinitesimal
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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.

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