Conformal flows on \(\mathbb{C}_{0}\) and hexagonal 3-webs. (Q2782006)
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scientific article; zbMATH DE number 1727394
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformal flows on \(\mathbb{C}_{0}\) and hexagonal 3-webs. |
scientific article; zbMATH DE number 1727394 |
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11 April 2002
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Conformal flows on \(\mathbb{C}_{0}\) and hexagonal 3-webs. (English)
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In this paper the authors prove a rigidity lemma for Lie pseudo-groups generated by conformal flows. They notice that if any non-solvable dynamics of the group \(\Aut(\mathbb{C}_0)\) is lifted to the tangent bundle over each Nakai sector, every orbit is dense. Using hexagonal 3-webs, they result in the density on the unitary bundle and give a new elementary proof of A. A. Shcherbakov's rigidity theorem.NEWLINENEWLINEFor the entire collection see [Zbl 0983.00024].
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