I plan to give an expository talk about cohomogeneity one actions. An action is of cohomogeneity one if its orbit space is one-dimensional. In recent years methods based on cohomogeneity one actions have been successfully used for the construction and investigation of special structures on manifolds. These developments have been of particular interest for geometry and theoretical physics. The classification of cohomogeneity one actions is a problem that exhibits interesting algebraic and geometric phenomena.
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Last updated April 29, 2004. This page was created and is maintained by Stephen Wills (s.wills@ucc.ie).