Structure of groups of nonlinear automorphisms for (\(3,3\)) quadrics (Q1358479)
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scientific article; zbMATH DE number 1028511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structure of groups of nonlinear automorphisms for (\(3,3\)) quadrics |
scientific article; zbMATH DE number 1028511 |
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Structure of groups of nonlinear automorphisms for (\(3,3\)) quadrics (English)
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14 July 1997
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The problems related to the structure of the Lie group of nonlinear automorphisms for \((k,n)\) quadrics are considered. It is proved that the Lie group and the corresponding Lie algebra are nilpotent of rank 2. A description of the multiplication law for this group in terms of the Lie algebra is given. The formulas for nonlinear automorphisms of nondegenerate (3,3) quadrics are obtained.
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real-analytic surfaces
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quadrics
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groups of nonlinear automorphisms of quadrics
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