Kupka-Smale theorem for automorphisms of \(\mathbf C^n\) (Q1974829)
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scientific article; zbMATH DE number 1425127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kupka-Smale theorem for automorphisms of \(\mathbf C^n\) |
scientific article; zbMATH DE number 1425127 |
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Kupka-Smale theorem for automorphisms of \(\mathbf C^n\) (English)
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27 March 2000
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It is well known that the Kupka-Smale theorem is an important and useful tool in the study of dynamical systems. Briefly, this theorem says that for a generic diffeomorphism, all periodic points are transverse. The goal of the paper under review is to prove this theorem for the space Aut\((\mathbb{C}^n) \) of biholomorphic automorphisms of \( \mathbb{C}^n, \;n \geq 2\).
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Kupka-Smale theorem
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automorphisms of \( \mathbb{C} ^n \)
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