On the integral geometry of Liouville billiard tables
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Publication:535186
DOI10.1007/s00220-011-1223-zzbMath1223.37048arXiv0906.0451OpenAlexW2002662856MaRDI QIDQ535186
Peter J. Topalov, Georgi S. Popov
Publication date: 11 May 2011
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.0451
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Related Items (7)
Robin spectral rigidity of the ellipse ⋮ The wave trace and Birkhoff billiards ⋮ Invariants of Isospectral Deformations and Spectral Rigidity ⋮ Caustics of Poncelet polygons and classical extremal polynomials ⋮ Periodic ellipsoidal billiard trajectories and extremal polynomials ⋮ Four equivalent properties of integrable billiards ⋮ Classification of symmetric periodic trajectories in ellipsoidal billiards
Cites Work
- An inverse spectral result for elliptical regions of \(\mathbb{R}^2\)
- The Poisson summation formula for manifolds with boundary
- Discrete versions of some classical integrable systems and factorization of matrix polynomials
- Integrability criterion of geodesical equivalence: hierarchies
- Singular fibres of the momentum mapping for integrable Hamiltonian systems.
- Discrete analog of the projective equivalence and integrable billiard tables
- Two classes of Riemannian manifolds whose geodesic flows are integrable
- Liouville billiard tables and an inverse spectral result
- Invariants of Isospectral Deformations and Spectral Rigidity
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