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Circular billiard tables, conjugate loci, and a cardioid

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Publication:1407957
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DOI10.1070/RD2003v008n01ABEH000227zbMath1023.37020MaRDI QIDQ1407957

Richard L. Bishop

Publication date: 14 September 2003

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)


zbMATH Keywords

Riemannian geometryMorse theoryexponential mapcircular billiardconjugate loci


Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Low-dimensional dynamical systems (37E99) Methods of local Riemannian geometry (53B21)


Related Items (2)

Generic absence of finite blocking for interior points of Birkhoff billiards ⋮ The total absolute curvature of open curves in \(E^{3}\)






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