Topological conjugacy of locally free 𝐑 n-1 actions on n-manifolds
Tischler, David C. ; Tischler, Rosamond W.
Annales de l'Institut Fourier, Tome 24 (1974), p. 213-227 / Harvested from Numdam
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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},
     volume = {24},
     year = {1974},
     pages = {213-227},
     doi = {10.5802/aif.539},
     mrnumber = {52 \#1726},
     zbl = {0287.57016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1974__24_4_213_0}
}

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) pp. 213-227. doi : 10.5802/aif.539. http://gdmltest.u-ga.fr/item/AIF_1974__24_4_213_0/

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