\(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 5 (Q1750671)
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scientific article; zbMATH DE number 6871318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 5 |
scientific article; zbMATH DE number 6871318 |
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\(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 5 (English)
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23 May 2018
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The notion of an ideal submanifold introduced by Chen at the end of the last century has a counterpart in centroaffine differential geometry. So far, the results in this field are related to \(\delta^\sharp(2)\)-ideal centroaffine hypersurfaces of dimensions 3 and 4. In this paper, the authors classify all \(\delta^\sharp(2, 2)\)-ideal centroaffine hypersurfaces of dimension 5. This classification considers the different cases of vanishing and non-vanishing Tchebychev vector fields.
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ideal centroaffine hypersurfaces of dimension 5
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\(\delta^{\sharp}\)-invariants
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centroaffine differential geometry
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