Local invariant surfaces for holomorphic volume preserving vector fields (Q1357489)
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scientific article; zbMATH DE number 1019539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local invariant surfaces for holomorphic volume preserving vector fields |
scientific article; zbMATH DE number 1019539 |
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Local invariant surfaces for holomorphic volume preserving vector fields (English)
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10 June 1997
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The paper is concerned with holomorphic volume preserving vector fields, defined in a neighbourhood of 0 in \(\mathbb{C}^n\). We prove that, under A. D. Brjuno's diophantine condition, such vector fields possess local analytic invariant surfaces. The proof rests on the classical KAM method, following A. D. Brjuno's ideas.
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normal forms
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holomorphic volume preserving vector fields
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local analytic invariant surfaces
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0.7934457659721375
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0.7544175386428833
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0.7482521533966064
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0.7439318895339966
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