Symmetric orbits of orthogonal Plücker actions and triviality of their second order envelopes (Q1922786)
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scientific article; zbMATH DE number 929687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetric orbits of orthogonal Plücker actions and triviality of their second order envelopes |
scientific article; zbMATH DE number 929687 |
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Symmetric orbits of orthogonal Plücker actions and triviality of their second order envelopes (English)
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8 June 1997
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After presenting the known facts about semi-parallel submanifolds, symmetric orbits and the Plücker action, the author proves the following: 1) the only symmetric orbits are Plücker orbits and for \(n=2v>4\) the unitary orbits, 2) each of their second order envelopes is trivial, i.e., is a single orbit or its open part.
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semi-parallel submanifolds
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symmetric orbits
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Plücker action
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