Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane
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Publication:379543
DOI10.3934/dcds.2013.33.3903zbMath1306.37059arXiv1205.3873OpenAlexW2963099515MaRDI QIDQ379543
Publication date: 11 November 2013
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.3873
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of twist maps (37E40)
Related Items (13)
Convex billiards on convex spheres ⋮ On polynomially integrable planar outer billiards and curves with symmetry property ⋮ On polynomially integrable Birkhoff billiards on surfaces of constant curvature ⋮ The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables ⋮ On commuting billiards in higher-dimensional spaces of constant curvature ⋮ A survey on polynomial in momenta integrals for billiard problems ⋮ On the integrability of Birkhoff billiards ⋮ The integrability of symplectic twist maps without conjugate points ⋮ Caustic-free regions for billiards on surfaces of constant curvature ⋮ Billiards on constant curvature spaces and generating functions for systems with constraints ⋮ Inverse problems and rigidity questions in billiard dynamics ⋮ Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary ⋮ Locally maximising orbits for the non-standard generating function of convex billiards and applications
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