Topology of billiard problems. I

DOI10.1215/S0012-7094-02-11535-XzbMath1013.37033arXivmath/0006049MaRDI QIDQ1860991

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/0006049

zbMATH Keywords

cohomology ringslower boundstopological approach

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (6)

Generic absence of finite blocking for interior points of Birkhoff billiards ⋮ The Schwarz genus of the Stiefel manifold ⋮ Billiards in generic convex bodies have positive topological entropy ⋮ Metodi topologici, disequazioni variazionali e traiettorie di rimbalzo elastico ⋮ Classification of symmetric periodic trajectories in ellipsoidal billiards ⋮ Topology of billiard problems. II

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• PERIODIC TRAJECTORIES IN THREE-DIMENSIONAL BIRKHOFF BILLIARDS
• Lectures on Morse theory, old and new

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