Cohomogeneity one actions on symmetric spaces of noncompact type (Q2861476)
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scientific article; zbMATH DE number 6224210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cohomogeneity one actions on symmetric spaces of noncompact type |
scientific article; zbMATH DE number 6224210 |
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Cohomogeneity one actions on symmetric spaces of noncompact type (English)
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8 November 2013
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cohomogeneity-one actions
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symmetric spaces
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0.9841239
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0.9743649
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0.96403384
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0.9406314
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0.9221957
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0.9105339
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An isometric action of a Lie group on a Riemannian manifold is said to be of cohomogeniety one if the corresponding orbit space is one-dimensional or, equivalently, if the principal orbits are hypersurfaces. This article characterizes cohomogeniety-one actions on noncompact Riemannian symmetric spaces in terms of orbit equivalence. Several examples are given, and the cohomogeniety-one actions on some symmetric spaces are classified.
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