Advanced Search
Article Contents
Article Contents

On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards

Abstract Related Papers Cited by
  • Following a recent paper by Baryshnikov and Zharnitsky, we consider outer billiards in the plane possessing invariant curves consisting of periodic orbits. We prove the existence and abundance of such tables using tools from sub-Riemannian geometry. We also prove that the set of 3-periodic outer billiard orbits has empty interior.
    Mathematics Subject Classification: Primary 53C17, 37J45.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(70) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint