Allie All Along by L. S. Reul

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Jacobi Fields along Harmonic 2 - Spheres in S 3 and S 4 Are Not All Integrable

In a previous paper, we showed that any Jacobi field along a harmonic map from the 2-sphere to the complex projective plane is integrable (i.e., is tangent to a smooth variation through harmonic maps). In this paper, in contrast, we show that there are (non-full) harmonic maps from the 2-sphere to the 3-sphere and 4sphere which have non-integrable Jacobi fields. This is particularly surprising ...

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ژورنال

عنوان ژورنال: The Deakin Review of Children's Literature

سال: 2019

ISSN: 1927-1484

DOI: 10.20361/dr29435