A space cubic and its one-parameter automorphism groups (Q2482312)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A space cubic and its one-parameter automorphism groups |
scientific article |
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A space cubic and its one-parameter automorphism groups (English)
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16 April 2008
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The paper is devoted to the study of the \(3-\)parametric group \(A_3\) of collineations of the \(3-\)dimensional real projective space which fixes a given twisted cubic curve. The author classifies one-parametric subgroups of \(A_3\) and describes some of their differential geometric properties. Point paths (in general twisted cubic curves again) and their tangent manifolds are described in detail.
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autocollineations of twisted cubics
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projective kinematics
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one-parametric subgroups
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