On the role of the surface geometry in convex billiards

DOI10.1088/1361-6544/ad814eMaRDI QIDQ6623097

S. Oliffson Kamphorst, Sônia Pinto de Carvalho, Mario Jorge Dias Carneiro, C. H. Vieira Morais

Publication date: 23 October 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

billiardsgeodesic flowinvariant curvesMather's theoremdynamics on general surfacesHubacher's theoremLazutkin's theorem

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Local Riemannian geometry (53B20) Flows on surfaces (37E35) Dynamical aspects of twist maps (37E40) Dynamical systems with singularities (billiards, etc.) (37C83)

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