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Sur les longueurs des géodésiques d'une métrique à courbure négative dans le disque

https://doi.org/10.1007/bf02566611
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00969776openalex-snapshot
A problem of reconstructing a Riemannian metric
inferredcites →https://doi.org/10.1007/bf01389295openalex-snapshot
Sur la rigidit� impos�e par la longueur des g�od�siques
inferredcites →https://doi.org/10.1007/bf02566599openalex-snapshot
Rigidity for surfaces of non-positive curvature
inferredcites →https://doi.org/10.4310/jdg/1214509283openalex-snapshot
Filling Riemannian manifolds

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4786345openalex-extracted
Rigidity of Lyapunov Exponents for Geodesic Flows
inferred← citeshttps://doi.org/10.1007/978-0-387-92920-0_20openalex-snapshot
Wave Phenomena
inferred← citeshttps://doi.org/10.1007/978-1-4684-9375-7_4openalex-snapshot
Rigidity Theorems in Riemannian Geometry
inferred← citeshttps://doi.org/10.1007/978-1-4684-9375-7_7openalex-snapshot
Ray Transform and Some Rigidity Problems for Riemannian Metrics
inferred← citeshttps://doi.org/10.1007/978-1-4939-0790-8_52openalex-snapshot
Wave Phenomena
inferred← citeshttps://doi.org/10.1007/978-3-0348-8938-4_9openalex-snapshot
Inverse Spectral Geometry on Riemann Surfaces
inferred← citeshttps://doi.org/10.1007/978-3-642-55856-6_6openalex-snapshot
The Inverse Kinematic Problem in Anisotropic Media
inferred← citeshttps://doi.org/10.1007/978-3-7091-6296-5_12openalex-snapshot
Inverse Scattering in Anisotropic Media
inferred← citeshttps://doi.org/10.1007/978-4-431-73240-2_23openalex-snapshot
Boundary and lens rigidity, tensor tomography and analytic microlocal analysis
inferred← citeshttps://doi.org/10.1007/bf02564484openalex-snapshot
Des métriques finslériennes sur le disque à partir d’une fonction distance entre les points du bord
inferred← citeshttps://doi.org/10.1007/bf02566421openalex-snapshot
The marked length spectrum vs. the Laplace spectrum on forms on Riemannian nilmanifolds
inferred← citeshttps://doi.org/10.1007/bf02566599openalex-snapshot
Rigidity for surfaces of non-positive curvature
inferred← citeshttps://doi.org/10.1007/bf02921826openalex-snapshot
Continuous families of Riemannian manifolds, Isospectral on functions but not on 1-forms
inferred← citeshttps://doi.org/10.1007/s00205-017-1123-2openalex-snapshot
Stability for the Lens Rigidity Problem
inferred← citeshttps://doi.org/10.1007/s00208-002-0407-4openalex-snapshot
Semiglobal boundary rigidity for Riemannian metrics
inferred← citeshttps://doi.org/10.1007/s00208-015-1286-9openalex-snapshot
Determination of the spacetime from local time measurements
inferred← citeshttps://doi.org/10.1007/s00209-024-03433-8openalex-snapshot
Marked boundary rigidity for surfaces of Anosov type
inferred← citeshttps://doi.org/10.1007/s10114-019-8338-0openalex-snapshot
Travel Time Tomography
inferred← citeshttps://doi.org/10.1007/s10455-021-09787-0openalex-snapshot
Periodic magnetic geodesics on Heisenberg manifolds
inferred← citeshttps://doi.org/10.1007/s12220-024-01723-5openalex-snapshot
The Lorentzian scattering rigidity problem and rigidity of stationary metrics
inferred← citeshttps://doi.org/10.1007/s13373-014-0051-9openalex-snapshot
Inverse problems: seeing the unseen
inferred← citeshttps://doi.org/10.1016/b978-012613760-6/50091-7openalex-snapshot
Scattering by a Metric1
inferred← citeshttps://doi.org/10.1016/j.difgeo.2005.01.005openalex-snapshot
Minimal volume with length bounded below
inferred← citeshttps://doi.org/10.1016/j.jde.2024.09.004openalex-snapshot
Rigidity of Lyapunov exponents for geodesic flows
inferred← citeshttps://doi.org/10.1017/etds.2012.164openalex-snapshot
Scattering rigidity with trapped geodesics
inferred← citeshttps://doi.org/10.1017/etds.2016.94openalex-snapshot
Marked boundary rigidity for surfaces
inferred← citeshttps://doi.org/10.1017/etds.2021.72openalex-snapshot
Anatole Katok
inferred← citeshttps://doi.org/10.1017/s0143385700007203openalex-snapshot
Regularity of time-preserving conjugacies for contact Anosov flows withC1-Anosov splitting
inferred← citeshttps://doi.org/10.1017/s0143385700008488openalex-snapshot
Rigidity for non-compact surfaces of finite area and certain Kähler manifolds
inferred← citeshttps://doi.org/10.1023/a:1005197117909openalex-snapshot
Métriques de révolution d'un disque et invariance par rotation de la longueur des géodésiques
inferred← citeshttps://doi.org/10.1088/0266-5611/32/8/085009openalex-snapshot
An iterative method to reconstruct the refractive index of a medium from time-of-flight measurements*
inferred← citeshttps://doi.org/10.1090/conm/700/14189openalex-snapshot
Scattering for the geodesic flow on surfaces with boundary
inferred← citeshttps://doi.org/10.1090/jams/865openalex-snapshot
Lens rigidity for manifolds with hyperbolic trapped sets
inferred← citeshttps://doi.org/10.1090/s0002-9939-10-10359-1openalex-snapshot
The marked length spectrum of a projective manifold or orbifold
inferred← citeshttps://doi.org/10.1090/s0002-9947-00-02532-0openalex-snapshot
Local boundary rigidity of a compact Riemannian manifold with curvature bounded above
inferred← citeshttps://doi.org/10.1090/s0894-0347-05-00494-7openalex-snapshot
Boundary rigidity and stability for generic simple metrics
inferred← citeshttps://doi.org/10.1090/s1079-6762-05-00148-4openalex-snapshot
Recent progress on the boundary rigidity problem
inferred← citeshttps://doi.org/10.1112/jlms.70146openalex-snapshot
Marked length spectrum rigidity in groups with contracting elements
inferred← citeshttps://doi.org/10.1215/00127094-2024-0022openalex-snapshot
Marked length spectrum rigidity for Anosov surfaces
inferred← citeshttps://doi.org/10.1215/s0012-7094-04-12332-2openalex-snapshot
Stability estimates for the X-ray transform of tensor fields and boundary rigidity
inferred← citeshttps://doi.org/10.1215/s0012-7094-04-12511-4openalex-snapshot
Lengths and volumes in Riemannian manifolds
inferred← citeshttps://doi.org/10.1307/mmj/1030132293openalex-snapshot
Geodesic conjugacies of two-step nilmanifolds.
inferred← citeshttps://doi.org/10.1307/mmj/1100623420openalex-snapshot
The minimal marked length spectrum of Riemannian two-step nilmanifolds
inferred← citeshttps://doi.org/10.1353/ajm.0.0103openalex-snapshot
Rigidity of broken geodesic flow and inverse problems
inferred← citeshttps://doi.org/10.2140/apde.2024.17.2737openalex-snapshot
Local lens rigidity for manifolds of Anosov type
inferred← citeshttps://doi.org/10.2140/paa.2024.6.693openalex-snapshot
The X-ray transform on asymptotically conic spaces
inferred← citeshttps://doi.org/10.4007/annals.2021.194.1.1openalex-snapshot
Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge
inferred← citeshttps://doi.org/10.4310/jdg/1214446326openalex-snapshot
Rigidity and the distance between boundary points
inferred← citeshttps://doi.org/10.4310/jdg/1738160846openalex-snapshot
Generic injectivity of the X-ray transform
inferred← citeshttps://doi.org/10.4310/mrl.1994.v1.n6.a5openalex-snapshot
Comparisons of Laplace spectra, length spectra and geodesic flows of some Riemannian manifolds
inferred← citeshttps://doi.org/10.4310/sdg.2003.v8.n1.a4openalex-snapshot
Universal volume bounds in Riemannian manifolds
inferred← citeshttps://doi.org/10.4310/sdg.2004.v9.n1.a12openalex-snapshot
The inverse spectral problem
inferred← citeshttps://doi.org/10.48550/arxiv.1412.1760openalex-snapshot
Lens rigidity for manifolds with hyperbolic trapped set
inferred← citeshttps://doi.org/10.48550/arxiv.math/9503220openalex-snapshot
Geodesic Conjugacy in two-step nilmanifolds
inferred← citeshttps://doi.org/10.48550/arxiv.math/9510207openalex-snapshot
The Marked Length Spectrum Versus the Laplace Spectrum on Forms on Riemannian Nilmanifolds
inferred← citeshttps://doi.org/10.5186/aasfm.2010.3501openalex-snapshot
A modulus for curves from distance
inferred← citeshttps://doi.org/10.5802/aif.3070openalex-snapshot
Local and infinitesimal rigidity of simply connected negatively curved manifolds
inferred← citeshttps://doi.org/10.5802/jedp.94openalex-snapshot
Inverse Problems: Visibility and Invisibility
inferred← citeshttps://doi.org/10.5802/tsg.75openalex-snapshot
Le spectre marqué des longueurs des surfaces à courbure négative
inferred← citeshttps://doi.org/10.5802/tsg.98openalex-snapshot
Des métriques finslériennes sur le disque à partir d'une fonction distance entre les points du bord
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