Boundary distance, lens maps and entropy of geodesic flows of Finsler metrics

DOI10.2140/GT.2016.20.469zbMath1350.53094arXiv1405.6372OpenAlexW3101310440MaRDI QIDQ258896

Sergei Ivanov, Dmitri Burago

Publication date: 10 March 2016

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6372

zbMATH Keywords

perturbationFinsler metricmetric entropyHamiltonian flowlens mapboundary distancescattering relation

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Momentum maps; symplectic reduction (53D20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (6)

Flexibility of sections of nearly integrable Hamiltonian systems ⋮ Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces ⋮ Positive metric entropy in nondegenerate nearly integrable systems ⋮ Rigidity of Riemannian embeddings of discrete metric spaces ⋮ Boundary rigidity for Randers metrics ⋮ Open problems and questions about geodesics

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