Skip to main content
SpringerLink
Log in

Bounded orbits of flows on homogeneous spaces

  • Published:
Commentarii Mathematici Helvetici

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. S. G. Dani,Invariant measures and minimal sets of horospherical flows, Invent. Math.64 (1981), 357–385.

    Article  MATH  MathSciNet  Google Scholar 

  2. ———,Divergent trajectories of flows on homogeneous spaces and Diophantine approximation, J. reine angew. Math.359 (1985), 55–89.

    MATH  MathSciNet  Google Scholar 

  3. ---,Dynamics of flows on homogeneous spaces: A survey, Proceeding of the conference Colloquio de Sistemas Dinamicos held at Guanajuato, Mexico in 1983; Sociedad Mat. Mexicana, 1985.

  4. ---,Bounded geodesics on manifolds of constant negative curvature, Preprint (available from the author).

  5. H. Federer,Geometric Measure Theory, Springer, Berlin-Heidelberg-New York, 1969.

    MATH  Google Scholar 

  6. H. Furstenberg, A Poisson formula for semisimple Lie groups, Ann. Math.77 (1963), 335–386.

    Article  MathSciNet  Google Scholar 

  7. H. Graland andM. S. Raghunathan, Fundamental domains for lattices in ℝ-rank 1 semisimple Lie groups, Ann. Math.92 (1970), 279–326.

    Article  Google Scholar 

  8. G. A. Hedlund,Fuchsian groups and transitive horocycles, Duke Math. J.2 (1936), 530–542.

    Article  MATH  MathSciNet  Google Scholar 

  9. S. Helgason,Differential geometry, Lie groups and Symmetric Spaces, Academic Press, New York, 1978.

    MATH  Google Scholar 

  10. W. Hurewicz andH. Wallman,Dimension theory, Princeton University Press, Princeton, 1948.

    MATH  Google Scholar 

  11. F. Mautner,Geodesic flows on symmetric Riemann spaces. Ann. Math.65 (1957), 416–431.

    Article  MathSciNet  Google Scholar 

  12. C. C. Moore,Compactifications of symmetric spaces, Amer. J. Math.,86 (1964), 201–218.

    Article  MathSciNet  Google Scholar 

  13. ———,Ergodicity of flows on homogeneous spaces, Amer. J. Math.88 (1966), 154–178.

    Article  MATH  MathSciNet  Google Scholar 

  14. W. M. Schmidt,On badly approximable numbers and certain games. Trans. Amer. Math. Soc.123 (1966), 178–199.

    Article  MATH  MathSciNet  Google Scholar 

  15. ———,Badly approximable systems of linear forms, J. Number Theory1 (1969), 139–154.

    Article  MATH  MathSciNet  Google Scholar 

  16. ———,Diophantine approximation, Lect. Notes in Math., Springer, Berlin-Heidelberg-New York, 1980.

    MATH  Google Scholar 

  17. J. P. Serre,A course on arithmetic, Springer, Berlin-Heidelberg-New York, 1971.

    Google Scholar 

  18. G. Warner,Harmonic analysis on semisimple Lie groups I, Springer, Berlin-Heidelberg-New York, 1972.

    Google Scholar 

  19. D. Witte,Measurable isomorphisms of unipotent translations of homogeneous spaces, Thesis, University of Chicago, 1985.

Download references

Author information

Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Colaba, Bombay, India

    S. G. Dani

Authors
  1. S. G. Dani
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dani, S.G. Bounded orbits of flows on homogeneous spaces. Commentarii Mathematici Helvetici 61, 636–660 (1986). https://doi.org/10.1007/BF02621936

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02621936

Keywords

Search

Navigation