Scattering rigidity for standard stationary manifolds via timelike geodesics
Differential Geometry
2025-12-30 v2
Abstract
We study the scattering rigidity problem for standard stationary manifolds using timelike geodesics with a fixed momentum. Taking advantage of the symmetry of this manifolds, we use Hamiltonian reduction to show that this problem is related to scattering rigidity for -systems, a problem studied before. This gives several new rigidity results (up to some gauge) for this kind of Lorentzian manifolds.
Keywords
Cite
@article{arxiv.2404.09449,
title = {Scattering rigidity for standard stationary manifolds via timelike geodesics},
author = {Sebastián Muñoz-Thon},
journal= {arXiv preprint arXiv:2404.09449},
year = {2025}
}
Comments
26 pages; typos corrected, more explicit result and hypothesis, references added