2008 / June Volume 3 No.2
Cohomogeneity two actions on ${\mathbb R}^m, m\geq3$
Published Date |
2008 / June
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Title | Cohomogeneity two actions on ${\mathbb R}^m, m\geq3$ |
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Pagination | 281-292 |
Abstract | We suppose that a connected and closed Lie group $G$ of isometries of $\mathbb{R}^m, m \ge 3$, acts by cohomogeneity two on $\mathbb{R}^m$. Then
we show that under some conditions, the orbit space is homeomorphic to $\mathbb{R}^2$ or $[0,+ \infty) \times \mathbb{R}$ .
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AMS Subject Classification |
53C30, 57S25
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Received |
2007-04-04
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