On harmonic representatives of \(\Pi_{2m+1}(S^{2m+1})\) (Q1340933)
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scientific article; zbMATH DE number 704925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On harmonic representatives of \(\Pi_{2m+1}(S^{2m+1})\) |
scientific article; zbMATH DE number 704925 |
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On harmonic representatives of \(\Pi_{2m+1}(S^{2m+1})\) (English)
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21 December 1994
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Content: By using the isoparametric function on \(S^{2m + 1}\) introduced by Cartan-Nomizu an equivariant map from \(S^{2m + 1}\) into \(S^{2m + 1}\) with respect to this isoparametric function is constructed. The harmonicity equation of this map can be solved by direct methods of the calculus of variations. In such a way it is proved that every element of odd degree of the homotopy group \(\Pi_{2m + 1}(S^{2m + 1})\) has a harmonic representative.
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equivariant harmonic map
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isoparametric function
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homotopy group
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0.88217866
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0.86636025
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0.85570955
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