Topology of billiard problems. II

DOI10.1215/S0012-7094-02-11536-1zbMath1013.37034arXivmath/0006085MaRDI QIDQ1860992

Michael S. Farber

Publication date: 2 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0006085

zbMATH Keywords

reductionperiodic trajectorieslower boundstopological approach

Mathematics Subject Classification ID

Related Items (6)

The genus and the category of configuration spaces ⋮ Billiards in convex bodies with acute angles ⋮ Counting periodic trajectories of Finsler billiards ⋮ Classification of symmetric periodic trajectories in ellipsoidal billiards ⋮ Periodic Bounce Solutions of Hamiltonian Systems in Bounded Domains ⋮ Periodic billiard trajectories in smooth convex bodies

Cites Work

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• A critical point theory for nonsmooth functionals
• Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards
• A G-Lusternik-Schnirelmann category of space with an action of a compact Lie group
• Topology of billiard problems. I
• Morse theory for continuous functionals
• Configuration spaces of algebraic varieties
• PERIODIC TRAJECTORIES IN THREE-DIMENSIONAL BIRKHOFF BILLIARDS
• Characteristic Classes. (AM-76)

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