PERIODIC TRAJECTORIES IN THREE-DIMENSIONAL BIRKHOFF BILLIARDS

DOI10.1070/SM1992v071n01ABEH001273zbMath0744.58062OpenAlexW1981373413MaRDI QIDQ4000542

Ivan K. Babenko

Publication date: 26 September 1992

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1992v071n01abeh001273

zbMATH Keywords

Morse theoryStiefel manifoldperiodic trajectoriesMoebius functioncritical submanifoldthree-dimensional Birkhoff billiards

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential geometric aspects in kinematics (53A17) Critical points and critical submanifolds in differential topology (57R70) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Counting periodic trajectories of Finsler billiards ⋮ Classification of symmetric periodic trajectories in ellipsoidal billiards ⋮ Topology of billiard problems. I ⋮ Topology of billiard problems. II

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