Classification of diffeomorphisms of \(\mathbb{S}^4\) induced by quaternionic Riccati equations with periodic coefficients (Q1039200)
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scientific article; zbMATH DE number 5639930
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of diffeomorphisms of \(\mathbb{S}^4\) induced by quaternionic Riccati equations with periodic coefficients |
scientific article; zbMATH DE number 5639930 |
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Classification of diffeomorphisms of \(\mathbb{S}^4\) induced by quaternionic Riccati equations with periodic coefficients (English)
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27 November 2009
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The monodromy maps for the quaternionic Riccati equations with periodic oefficients in \(\mathbb{H}\mathbb{P}^1\) are quaternionic Möbius transformations. The author proves that, the quaternionic homographies are divided into three classes: hyperbolic, ellipitc and parabolic, as in the case of automorphisms of \(\mathbb{C}\mathbb{P}^1\).
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quaternionic Riccati equation
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Möbius map
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