On nonrigidity of harmonic maps into spheres

Toth Gabor

doi:10.1090/S0002-9939-1985-0792288-4

On nonrigidity of harmonic maps into spheres

Toth Gabor

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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 language	English (US)
Pages (from-to)	711-714
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	94
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1985-0792288-4
State	Published - Aug 1985
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1985-0792288-4

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title = "On nonrigidity of harmonic maps into spheres",

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.",

author = "Toth Gabor",

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N2 - 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.

AB - 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.

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DO - 10.1090/S0002-9939-1985-0792288-4

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ER -

On nonrigidity of harmonic maps into spheres

Abstract

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