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arXiv:math/9910180 [math.DG]AbstractReferencesReviewsResources

Harmonic morphisms and the Jacobi operator

Stefano Montaldo, John C. Wood

Published 1999-11-01Version 1

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.

Comments: 10 pages
Categories: math.DG
Subjects: 58E20
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