Discrete analog of the projective equivalence and integrable billiard tables
From MaRDI portal
Publication:3623591
DOI10.1017/S014338570700096XzbMath1185.37095WikidataQ126128297 ScholiaQ126128297MaRDI QIDQ3623591
Peter J. Topalov, Georgi S. Popov
Publication date: 21 April 2009
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Riemannian metricintegrabilitycurvaturediscrete dynamical systemsbilliard tablesgeodesically equivalent Lagrangian systems
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (3)
On the integral geometry of Liouville billiard tables ⋮ Four equivalent properties of integrable billiards ⋮ Classification of symmetric periodic trajectories in ellipsoidal billiards
Cites Work
- An inverse spectral result for elliptical regions of \(\mathbb{R}^2\)
- Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space
- Integrable discrete-time systems and difference operators
- Discrete versions of some classical integrable systems and factorization of matrix polynomials
- Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid
- Exact transverse line fields and projective billiards in a ball
- On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies.
- Geodesic equivalence via integrability
- Geodesic hierarchies and involutivity
- Morse Theory. (AM-51)
- Liouville billiard tables and an inverse spectral result
This page was built for publication: Discrete analog of the projective equivalence and integrable billiard tables