Harmonic maps and morphisms to surfaces (Q2721647)
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scientific article; zbMATH DE number 1616364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic maps and morphisms to surfaces |
scientific article; zbMATH DE number 1616364 |
Statements
4 March 2003
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harmonic morphism
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conformal equivalence of metries
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Hermitian structure
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0.95781696
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0.9461852
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0.94562954
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Harmonic maps and morphisms to surfaces (English)
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The author constructs a 2-parameter family \(\Phi_{k,\ell}: (S^4, g_{k,\ell})\to (S^2,can)\) of harmonic morphisms, \(k,\ell\in\mathbb{N}\), where \(g_{k,\ell}\) is conformally equivalent to \(can\) on \(S^4\). The homotopy class \([\Phi_{k,\ell}]\in \pi_4(S^2)\cong \mathbb{Z}_2\) is trivial iff \(k\ell\) is even.
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