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Rigidity of Lyapunov Exponents for Geodesic Flows

https://doi.org/10.2139/ssrn.4786345
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01389360openalex-extracted
On the entropy of the geodesic flow in manifolds without conjugate points
inferredcites →https://doi.org/10.1007/bf01897050openalex-extracted
Entropies et rigidités des espaces localement symétriques de courbure strictement négative
inferredcites →https://doi.org/10.1007/bf02566599openalex-extracted
Rigidity for surfaces of non-positive curvature
inferredcites →https://doi.org/10.1007/bf02566611openalex-extracted
Sur les longueurs des géodésiques d'une métrique à courbure négative dans le disque
inferredcites →https://doi.org/10.1016/0040-9383(92)90013-8openalex-extracted
The marked length-spectrum of a surface of nonpositive curvature
inferredcites →https://doi.org/10.1016/j.difgeo.2018.05.007openalex-extracted
The transitivity of geodesic flows on rank 1 manifolds without focal points
inferredcites →https://doi.org/10.1016/s1874-575x(02)80008-xopenalex-extracted
Chapter 6 Hyperbolic dynamics and riemannian geometry
inferredcites →https://doi.org/10.1017/cbo9781107326026openalex-extracted
Nonuniform Hyperbolicity
inferredcites →https://doi.org/10.1017/s0143385700001656openalex-extracted
Entropy and closed geodesies
inferredcites →https://doi.org/10.1017/s0143385700003801openalex-extracted
Semi-rigidity of horocycle flows over compact surfaces of variable negative curvature
inferredcites →https://doi.org/10.1017/s0143385700005071openalex-extracted
Invariant tensor fields of dynamical systems with pinched Lyapunov exponents and rigidity of geodesic flows
inferredcites →https://doi.org/10.1017/s0143385701001523openalex-extracted
Entropy rigidity of Anosov flows in dimension three
inferredcites →https://doi.org/10.1017/s0143385702001189openalex-extracted
Minimal Lyapunov exponents, quasiconformal structures, and rigidity of non-positively curved manifolds
inferredcites →https://doi.org/10.1017/s0143385798124628openalex-extracted
A rigidity theorem for simply connected manifolds without conjugate points
inferredcites →https://doi.org/10.1070/im1971v005n02abeh001050openalex-extracted
ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS
inferredcites →https://doi.org/10.1073/pnas.34.2.47openalex-extracted
Closed Surfaces Without Conjugate Points
inferredcites →https://doi.org/10.1307/mmj/1028998009openalex-extracted
A theorem of E. Hopf.
inferredcites →https://doi.org/10.21203/rs.3.rs-3246885/v1openalex-extracted
inferredcites →https://doi.org/10.2307/1971011openalex-extracted
Riemannian Manifolds With Geodesic Flow of Anosov Type
inferredcites →https://doi.org/10.2307/2373755openalex-extracted
Anosov Flows
inferredcites →https://doi.org/10.3934/dcds.2014.34.1841openalex-extracted
Lyapunov spectrum for geodesic flows of rank 1 surfaces
inferredcites →https://doi.org/10.3934/jmd.2008.2.719openalex-extracted
2-Frame flow dynamics and hyperbolic rank-rigidity in nonpositive curvature
inferredcites →https://doi.org/10.4310/jdg/1214455076openalex-extracted
Conjugacy and rigidity for manifolds with a parallel vector field
inferredcites →https://doi.org/10.48550/arxiv.2008.12898openalex-extracted
Riemannian manifolds with Anosov geodesic flow do not have conjugate points
inferredcites →https://doi.org/10.48550/arxiv.2401.18031openalex-extracted
A note on the density of periodic orbits of Anosov geodesic flow in manifolds of finite volume
inferredcites →https://doi.org/10.1007/s12346-024-00972-7openalex-snapshot
Some Rigidity Theorems for Anosov Geodesic Flows in Manifolds of Finite Volume
inferredcites →https://doi.org/10.3934/dcds.2020223openalex-snapshot
Contributions to the study of Anosov geodesic flows in non-compact manifolds

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inferred← citeshttps://doi.org/10.2139/ssrn.5352444openalex-snapshot
A New Image Encryption Scheme Based on Two-Dimensional Adaptive Potential Energy Chaotic System
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