Skip to main content
Log in

Conjugacy properties of affine transformations of nilmanifolds

  • Published:
Mathematical systems theory Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. L. Auslander, L. W. Green andF. J. Hahn, Flows on Homogeneous Spaces, Annals of Math. Studies, No. 53, Princeton, 1963.

  2. F. J. Hahn andW. Parry, Some characteristic properties of dynamical systems with quasi-discrete spectra,Math. Systems Theory 2 (1968), 179–190.

    Google Scholar 

  3. P. R. Halmos,Lectures on Ergodic Theory Publ. Math. Soc. Japan, Tokyo, 1956.

    Google Scholar 

  4. A. Malcev, On a class of homogeneous spaces,Izvestiya Akad. Nauk SSSR. Ser. Mat. 13 (1949), 9–32;Amer. Math. Soc. Transl. no. 39, 33 pp. (1951).

    Google Scholar 

  5. W. Parry, Ergodic properties of affine transformations and flows on nilmanifolds (to appear).

  6. S. Smale, Differentiable dynamical systems,Bull. Amer. Math. Soc. 73 (1967), 747–817.

    Google Scholar 

  7. P. Walters, Topological conjugacy of affine transformations of tori,Trans. Amer. Math. Soc. 131 (1968), 40–50.

    Google Scholar 

  8. P. Walters, Homeomorphisms with discrete centralizers and ergodic properties,Math. Systems Theory 4 (1970), 322–326.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Walters, P. Conjugacy properties of affine transformations of nilmanifolds. Math. Systems Theory 4, 327–333 (1970). https://doi.org/10.1007/BF01704076

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01704076

Keywords

Navigation