Caustics and evolutes for convex planar domains

DOI10.4310/jdg/1214442283zbMath0636.58033OpenAlexW1538867178WikidataQ115183515 ScholiaQ115183515MaRDI QIDQ1098146

Edoh Y. Amiran

Publication date: 1988

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214442283

zbMATH Keywords

ellipsebilliardcaustic

Mathematics Subject Classification ID

Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (11)

Invariants of the length spectrum and spectral invariants of planar convex domains ⋮ On polynomially integrable planar outer billiards and curves with symmetry property ⋮ On curves with the Poritsky property ⋮ New ellipsoidal confocal coordinates and geodesics on an ellipsoid ⋮ On polynomially integrable Birkhoff billiards on surfaces of constant curvature ⋮ Veiled assonance between geodesics on ellipsoid and billiard in its focal ellipse ⋮ On the mathematical transport theory in microporous media: the billiard approach ⋮ Numerical exploration of a hexagonal string billiard ⋮ Aubry-Mather theory and the inverse spectral problem for planar convex domains ⋮ A dynamical approach to symplectic and spectral invariants for billiards ⋮ Computing Mather's \(\beta\)-function for Birkhoff billiards

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