Boundary rigidity for Randers metrics
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Publication:5016776
DOI10.54330/afm.112492zbMath1490.53033arXiv2010.11484OpenAlexW3217810323WikidataQ110867547 ScholiaQ110867547MaRDI QIDQ5016776
Publication date: 14 December 2021
Published in: Annales Fennici Mathematici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.11484
Inverse problems in geophysics (86A22) Rigidity results (53C24) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)
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Cites Work
- Boundary and scattering rigidity problems in the presence of a magnetic field and a potential
- Boundary distance, lens maps and entropy of geodesic flows of Finsler metrics
- A functional representation of almost isometries
- Isometries, submetries and distance coordinates on Finsler manifolds
- On the energy functional on Finsler manifolds and applications to stationary spacetimes
- On the interplay between Lorentzian causality and Finsler metrics of Randers type
- Tensor tomography: progress and challenges
- Rigidity and the distance between boundary points
- Rigidity for surfaces of non-positive curvature
- Projective equivalence of Finsler and Riemannian surfaces
- Boundary rigidity and filling volume minimality of metrics close to a flat one
- Some smooth Finsler deformations of hyperbolic surfaces
- Filling Riemannian manifolds
- Sur la rigidite imposee par la longueur des geodesiques
- Planes for which the lines are the shortest paths between points
- Seismic rays as Finsler geodesics.
- Zermelo navigation on Riemannian manifolds
- Entropy and rigidity of locally symmetric spaces of strictly negative curvature
- Local monotonicity of Riemannian and Finsler volume with respect to boundary distances
- Travel time tomography in stationary spacetimes
- Applications of cone structures to the anisotropic rheonomic Huygens' principle
- Smooth semi-Lipschitz functions and almost isometries between Finsler manifolds
- Almost isometries of non-reversible metrics with applications to stationary spacetimes
- Travel time tomography
- Two dimensional compact simple Riemannian manifolds are boundary distance rigid
- The boundary rigidity problem in the presence of a magnetic field
- Stationary-complete spacetimes with non-standard splittings and pre-Randers metrics
- Numerical Implementation of Geodesic X-Ray Transforms and Their Inversion
- 4. Integral geometry on manifolds with boundary and applications
- Finsler geodesics in the presence of a convex function and their applications
- A note on pseudo-metrics on the plane
- On uniqueness of determination of a form of first degree by its integrals along geodesics
- Convexity and the finiteness of the number of geodesics. Applications to the multiple-image effect
- Finsler Metrics with K = 0 and S = 0
- The marked length spectrum of a projective manifold or orbifold
- REVERSIBLE GEODESICS FOR (α, β)-METRICS
- The geodesic X-ray transform with matrix weights
- Global aspects of Finsler geometry
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