Smoothness of the Billiard Ball Map for Strictly Convex Domains Near the Boundary

DOI10.2307/2046865zbMath0679.34049OpenAlexW4231727339MaRDI QIDQ4728663

Valery Kovachev

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046865

zbMATH Keywords

Pesin's entropy formulabilliard ball map

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Differentiable maps on manifolds (58C25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Billiards in generic convex bodies have positive topological entropy

Cites Work

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• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• The existence of an infinite number of elliptic and hyperbolic periodic trajectories for a convex billiard
• A proof of the estimation from below in Pesin's entropy formula
• A proof of Pesin's formula
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

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