Topological conjugacy of locally free 𝐑 n-1 actions on n-manifolds
Annales de l'Institut Fourier, Tome 24 (1974) no. 4, pp. 213-227.

À une action au sens du titre, nous attachons une collection des nombres de rotation. Si l’un des nombres est suffisamment irrationnel, alors l’action est conjuguée (au sens d’une action) soit à une action linéaire sur un tore, soit à une action sur un fibré principal sur T 2 de fibre T k avec les orbites isomorphes à T k ×R 1 .

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 ×R 1 orbits.

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     author = {Tischler, David C. and Tischler, Rosamond W.},
     title = {Topological conjugacy of locally free ${\bf R}^{n-1}$ actions on $n$-manifolds},
     journal = {Annales de l'Institut Fourier},
     pages = {213--227},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {24},
     number = {4},
     year = {1974},
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Tischler, David C.; Tischler, Rosamond W. Topological conjugacy of locally free ${\bf R}^{n-1}$ actions on $n$-manifolds. Annales de l'Institut Fourier, Tome 24 (1974) no. 4, pp. 213-227. doi : 10.5802/aif.539. http://www.numdam.org/articles/10.5802/aif.539/

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