Skip to main content
SpringerLink
Log in

On quadrilateral orbits in planar billiards

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

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. V. Ivrii, “The Second Term of the Spectral Asymptotics for a Laplace-Beltrami Operator on Manifolds with Boundary,” Func. Anal. Appl. 14, 98–106 (1980).

    Article  MathSciNet  Google Scholar 

  2. P. K. Rashevsky, Geometrical Theory of Partial Differential Equations (OGIZ Gostehizdat, Moscow, 1947).

    Google Scholar 

  3. M. R. Rychlik, “Periodic Points of the Billiard Ball Map in a Convex Domain,” J. Diff. Geom. 30, 191–205 (1989).

    MATH  MathSciNet  Google Scholar 

  4. Ya. B. Vorobets, “On the Measure of the Set of Periodic Points of a Billiard,” Math. Notes 55, 455–460 (1994) [Mat. Zamet. 55, 25–35 (1994)].

    Article  MathSciNet  Google Scholar 

  5. H. Weyl, Gesammelte Abhandlungen (Springer-Verlag, Berlin, 1968).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. IUM, Poncelet Laboratory, Independent Moscow University, Moscow, Russia

    A. A. Glutsyuk & Yu. G. Kudryashov

  2. CNRS, Unité de Mathématiques Pures et Appliquées, École Normale Supérieure de Lyon, Lyon, France

    A. A. Glutsyuk & Yu. G. Kudryashov

Authors
  1. A. A. Glutsyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. G. Kudryashov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Published in Russian in Doklady Akademii Nauk, 2011, Vol. 438, No. 5, pp. 590–592.

The article was translated by the authors.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Glutsyuk, A.A., Kudryashov, Y.G. On quadrilateral orbits in planar billiards. Dokl. Math. 83, 371–373 (2011). https://doi.org/10.1134/S1064562411030343

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562411030343

Keywords

Search

Navigation