Unit vector fields on spheres, which are harmonic maps (Q1377064)
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scientific article; zbMATH DE number 1111619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unit vector fields on spheres, which are harmonic maps |
scientific article; zbMATH DE number 1111619 |
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Unit vector fields on spheres, which are harmonic maps (English)
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1 February 1998
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The authors show that the Hopf vector fields on the spheres \(S^{2n+1}\) are harmonic maps from the sphere into the unit tangent bundle \(US^{2n+1}\) with the Sasaki metric. For the special case of the three-dimensional unit round sphere it is shown that the Hopf vector field is the only harmonic map into the unit tangent bundle.
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3-sphere
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odd-dimensional spheres
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unit vector fields
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harmonic maps
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unit tangent bundle
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0.94856215
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0.9110085
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0.8994333
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0.8992941
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