2 papers
math.DG2009
Scattering rigidity for analytic Riemannian manifolds with a possible magnetic field
Pilar Herreros, James Vargo
Consider a compact Riemannian manifold with boundary endowed with a magnetic field. A path taken by a particle of unit charge, mass, and energy is called a magnetic geodesic. It is…
math.DG2008★ 1 cited
A proof of Lens Rigidity in the category of Analytic Metrics
James Vargo
Consider a compact Riemannian manifold with boundary. Assume all maximally extended geodesics intersect the boundary at both ends. Then to each maximal geodesic segment one can for…