On nonrigidity of harmonic maps into spheres

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Abstract

This note studies nonrigidity of equivariant harmonic maps f: M ⟶ Sn of a Riemannian homogeneous space M into the Euclidean-sphere Sn via representation theory applied to the induced module structure on Rn and, for specific M, produces (divergence-free) Jacobi fields along f which do not come from isometric deformations of f on the range.

Original languageEnglish (US)
Pages (from-to)711-714
Number of pages4
JournalProceedings of the American Mathematical Society
Volume94
Issue number4
DOIs
StatePublished - Aug 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Mathematics(all)

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