Transitive isometry groups with non-compact isotropy (Q1112389)
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scientific article; zbMATH DE number 4078286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transitive isometry groups with non-compact isotropy |
scientific article; zbMATH DE number 4078286 |
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Transitive isometry groups with non-compact isotropy (English)
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1988
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Let G be a connected Lie group acting effectively and transitively by isometries on a riemannian manifold M. Then G is a Lie subgroup of the full isometry group, which is not necessarily closed. In this paper we study the structure of the closure of G in I(M) and illustrate the results with examples, with non-compact isotropy, where the closure is described explicitly.
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connected Lie group acting effectively and transitively by isometries on a riemannian manifold
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Lie subgroup of the full isometry group
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closure
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