Complex-analyticity of harmonic maps (Q2752853)
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scientific article; zbMATH DE number 1665590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex-analyticity of harmonic maps |
scientific article; zbMATH DE number 1665590 |
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29 June 2003
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Kähler manifold
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holomophic map
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CR-map
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ideal boundary
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Complex-analyticity of harmonic maps (English)
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It is known that any holomorphic map between Kähler manifolds is a harmonic map. However, the converse holds only under some geometric conditions. In this paper, the author studies the converse problem of harmonic maps and proves the following main result: If a proper harmonic map, which has sufficiently high regularity up to the ideal boundary, between complex hyperbolic spaces is a nondegenerate CR-map at the boundary, then it must be a holomorphic map.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00035].
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