Cohomogeneity two actions on ${\mathbb R}^m, m\geq3$
by
R. Mirzaie
Vol. 3 No. 2 (2008) P.281~P.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 $[0,+ \infty) \times \mathbb{R}$ .
KEYWORDS
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 53C30, 57S25
MILESTONES
Received: 2007-02-06
Revised : 2007-04-04
Accepted:
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