Stitching data: recovering a manifold's geometry from geodesic intersections

DOI10.1007/s12220-021-00815-wzbMath1490.53059arXiv2008.07642OpenAlexW4206039337MaRDI QIDQ2074738

Reed Meyerson

Publication date: 10 February 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07642

zbMATH Keywords

inverse problemsmetric geometrylength spaces

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Related Items

Uniqueness of the partial travel time representation of a compact Riemannian manifold with strictly convex boundary, Stable reconstruction of simple Riemannian manifolds from unknown interior sources

Cites Work

• Unnamed Item
• Local Lens rigidity with incomplete data for a class of non-simple Riemannian manifolds
• Filling Riemannian manifolds
• Sur la rigidite imposee par la longueur des geodesiques
• Semiglobal boundary rigidity for Riemannian metrics
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Simple algorithms for optimization on Riemannian manifolds with constraints
• Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge
• Travel time tomography
• Two dimensional compact simple Riemannian manifolds are boundary distance rigid
• Reconstruction of a compact manifold from the scattering data of internal sources
• Manifolds with Boundary and of Bounded Geometry
• Rigidity of broken geodesic flow and inverse problems
• Restriction de la distance géodésique à un arc et rigidité
• Introduction to Riemannian Manifolds
• Boundary and lens rigidity for non-convex manifolds