Shortest periodic billiard trajectories in convex bodies

DOI10.1007/s00039-004-0458-7zbMath1059.52006OpenAlexW2002779808MaRDI QIDQ1889810

Yanyan Li

Publication date: 13 December 2004

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-004-0458-7

zbMATH Keywords

shortest trajectorybilliard in a convex bodyinradius of a convex bodywidth (thickness) of a convex body

Mathematics Subject Classification ID

Related Items (12)

Shortest billiard trajectories ⋮ Shortest closed billiard trajectories in the plane and equality cases in Mahler's conjecture ⋮ Inverse spectral problem for analytic domains. II: \(\mathbb Z_2\)-symmetric domains ⋮ A regularity result for shortest generalized billiard trajectories in convex bodies in \(\mathbb{R}^n\) ⋮ Representation formula for symmetrical symplectic capacity and applications ⋮ Centrally symmetric analytic plane domains are spectrally determined in this class ⋮ A Brunn-Minkowski type inequality for extended symplectic capacities of convex domains and length estimate for a class of billiard trajectories ⋮ On continuous billiard and quasigeodesic flows characterizing alcoves and isosceles tetrahedra ⋮ Inverse spectral problem for analytic \((\mathbb Z/2\mathbb Z)^n\)-symmetric domains in \(\mathbb R^n\) ⋮ Extremal convex polygons inscribed in a given convex polygon ⋮ Shortest closed billiard orbits on convex tables ⋮ Trace singularities in obstacle scattering and the Poisson relation for the relative trace

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