Differentiability of invariant circles for strongly integrable convex billiards

zbMath1281.53044MaRDI QIDQ372577

Nobuhiro Innami

Publication date: 9 October 2013

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1378408114

zbMATH Keywords

convex billiardsgeometry of geodesicsintegrable convex billiards

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical aspects of twist maps (37E40)

Cites Work

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• Convex curves whose points are vertices of billiard triangles
• Integral formulas for polyhedral and spherical billiards
• Geodesic rays, Busemann functions and monotone twist maps
• Convex billiards and a theorem by E. Hopf
• Two applications of Jacobi fields to the billiard ball problem
• Geometry of geodesics for convex billiards and circular billards.
• Caustics for inner and outer billiards
• A theorem of E. Hopf
• Closed Surfaces Without Conjugate Points

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