Topological entropy and blocking cost for geodesics in Riemannian manifolds
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Publication:1014909
DOI10.1007/s10711-008-9296-3zbMath1192.37037arXiv0711.1662OpenAlexW2079427440MaRDI QIDQ1014909
Publication date: 29 April 2009
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.1662
fundamental grouptopological entropyflatnessconnecting geodesicsblocking costcounting geodesicsReimannian manifold
Geodesics in global differential geometry (53C22) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
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Cites Work
- Unnamed Item
- Growth of the number of geodesics between points and insecurity for Riemannian manifolds
- Sur les variétés à courbure strictement positive
- Topological entropy for geodesic flows
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points
- On the topological entropy of geodesic flows
- Billiard dynamics: a survey with the emphasis on open problems
- Affine mappings of translation surfaces: Geometry and arithmetic
- Blocking light in compact Riemannian manifolds
- Connecting geodesics and security of configurations in compact locally symmetric spaces
- A note on curvature and fundamental group
- Blocking of billiard orbits and security for polygons and flat surfaces
- Relating exponential growth in a manifold and its fundamental group
- Blocking: new examples and properties of products
- Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows
- Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity
- On spaces of polynomial growth with no conjugate points