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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On nonrigidity of harmonic maps into spheres

Author: Gábor Tóth
Journal: Proc. Amer. Math. Soc. 94 (1985), 711-714
MSC: Primary 58E20; Secondary 53C42
MathSciNet review: 792288
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Abstract: This note studies nonrigidity of equivariant harmonic maps $ f:M \to {S^n}$ of a Riemannian homogeneous space $ M$ into the Euclidean $ n$-sphere $ {S^n}$ via representation theory applied to the induced module structure on $ {{\mathbf{R}}^n}$ 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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Article copyright: © Copyright 1985 American Mathematical Society

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