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Topological conjugacy of locally free $𝐑^{n - 1}$ actions on $n$ -manifolds

David C. Tischler; Rosamond W. Tischler — 1974

Annales de l'institut Fourier

For actions as in the title we associate a collection of rotation numbers. If one of them is sufficiently irrational then the action is conjugate (as an action) to either a linear action on a torus or to an action on a principal $T^{k}$ bundle over $T^{2}$ with $T^{k} \times R^{1}$ orbits.

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