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

David C. Tischler; Rosamond W. Tischler

Annales de l'institut Fourier (1974)

- Volume: 24, Issue: 4, page 213-227
- ISSN: 0373-0956

## Access Full Article

top## Abstract

top## How to cite

topTischler, David C., and Tischler, Rosamond W.. "Topological conjugacy of locally free ${\bf R}^{n-1}$ actions on $n$-manifolds." Annales de l'institut Fourier 24.4 (1974): 213-227. <http://eudml.org/doc/74200>.

@article{Tischler1974,

abstract = {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.},

author = {Tischler, David C., Tischler, Rosamond W.},

journal = {Annales de l'institut Fourier},

language = {eng},

number = {4},

pages = {213-227},

publisher = {Association des Annales de l'Institut Fourier},

title = {Topological conjugacy of locally free $\{\bf R\}^\{n-1\}$ actions on $n$-manifolds},

url = {http://eudml.org/doc/74200},

volume = {24},

year = {1974},

}

TY - JOUR

AU - Tischler, David C.

AU - Tischler, Rosamond W.

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

JO - Annales de l'institut Fourier

PY - 1974

PB - Association des Annales de l'Institut Fourier

VL - 24

IS - 4

SP - 213

EP - 227

AB - 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.

LA - eng

UR - http://eudml.org/doc/74200

ER -

## References

top- [1] R. SACKSTEDER, Foliations and Pseudogroups, American Journal of Mathematics, 87 (1965), 98-102. Zbl0136.20903MR30 #4268
- [2] S. STERNBERG, Celestial Mechanics, Part II, W. A. Benjamin, New York, 1969. Zbl0194.56702
- [3] R. TISCHLER, Thesis, " Conjugacy Problems for Rk Actions ", City University of New York, 1971.
- [4] Y. KATZNELSON, An Introduction to Harmonic Analysis, John Wiley and Sons, New York, 1968. Zbl0169.17902MR40 #1734
- [5] A. WINTNER, The Linear Difference Equation of First Order for Angular Variables, Duke Mathematics Journal, 12 (1945), 445-449. Zbl0061.20005MR7,163c

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.