Integral formulas for polyhedral and spherical billiards

DOI10.2969/JMSJ/05020339zbMath0939.37016OpenAlexW2091571464MaRDI QIDQ1127668

Nobuhiro Innami

Publication date: 26 April 2000

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05020339

zbMATH Keywords

integral formulasmanifolds without conjugate pointsmanifolds with boundary isolated by conjugate pointspolyhedral billiardsreflecting geodesicspherical billiards

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (3)

Differentiability of invariant circles for strongly integrable convex billiards ⋮ The cut loci, conjugate loci and poles in a complete Riemannian manifold ⋮ The Cartan-Hadamard conjecture and the little prince

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