Stability of closed Lie subgroups in compact Lie groups (Q809198)
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scientific article; zbMATH DE number 4210438
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of closed Lie subgroups in compact Lie groups |
scientific article; zbMATH DE number 4210438 |
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Stability of closed Lie subgroups in compact Lie groups (English)
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1990
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The aim of this paper is to prove the following theorem: Let U be a compact connected simple Lie group with a biinvariant Riemannian metric. A connected simple closed Lie subgroup G of index 1 in U is a stable minimal submanifold. If G is isomorphic to SU(2) then the converse is true.
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compact connected simple Lie group
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biinvariant Riemannian metric
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stable minimal submanifold
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