Density of a thin film billiard reflection pseudogroup in a Hamiltonian symplectomorphism pseudogroup

DOI10.1007/s11856-023-2470-3zbMATH Open1547.53105MaRDI QIDQ6584675

Alexey A. Glutsyuk

Publication date: 8 August 2024

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

billiardsHamiltonian vector fields

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Canonical transformations in symplectic and contact geometry (53D22) Symplectic and canonical mappings (37J11) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

• Equivalence of glancing hypersurfaces. II
• Spectral invariants of convex planar regions
• Equivalence of glancing hyper-surfaces
• Embedding problems in symplectic geometry
• Billiards in tubular neighborhoods of manifolds of codimension 1
• Billiard transformations of parallel flows: a periscope theorem
• Geometry of thin films
• Symplectomorphisms of exotic discs
• On the Volume Elements on a Manifold
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