On pluriharmonic morphisms (Q2708146)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On pluriharmonic morphisms |
scientific article |
Statements
17 April 2001
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pluriharmonic morphism
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harmonic morphism
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On pluriharmonic morphisms (English)
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\textit{E. Loubeau} proved in [Math. Scand. 84, No. 2, 165-178 (1999; Zbl 0957.32013)] that a map \(f:M\to N\) between complex manifolds is a pluriharmonic morphism (i.e. \(f\) pulls back local pluriharmonic functions on \(N\) to local pluriharmonic functions on \(M)\) iff \(f\) is \(\pm\) holomorphic. Similar results are obtained by the present author in the case when both \(M\) and \(N\) are Sasaki and in the case when one of them is Sasaki and the other one is Kähler.
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