Add to ORKGWe study scattering rigidity in Lorentzian geometry: recovery of a Lorentzian metric from the scattering relation $\mathcal{S}$ known on a lateral boundary. We show that, under a non-conjugacy assumption, every defining function $r(x,y)$ of pairs of boundary points which can be connected by a lightlike geodesic plays the role of the boundary distance function in the Riemannian case in the following sense. Its linearization is the light ray transform of tensor fields of order two which are the perturbations of the metric. Next, we study scattering rigidity of stationary metrics in time-space cylinders and show that it can be reduced to boundary rigidity of magnetic systems on the base; a problem studied previously. This implies several scatt...
Conferencia especializadaThe importance of the singularity theorems in Lorentzian Geometry, which gi...
We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over l...
ABSTRACT—For almost a century, velocity dependent scattering problems are solved in the context of E...
Abstract. Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold w...
Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold with bounda...
Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold with bounda...
Abstract. Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold w...
Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold with bounda...
Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold with bounda...
We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over l...
We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over l...
We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over l...
We study the Lorentzian metric independent of the time variable in the cylinder $\mathbb{R}\times\Om...
AbstractIn this paper we consider the problem of the existence and multiplicity for geodesics not to...
Abstract. For a compact Riemannian manifold with boundary, endowed with a magnetic potential α, we c...
Conferencia especializadaThe importance of the singularity theorems in Lorentzian Geometry, which gi...
We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over l...
ABSTRACT—For almost a century, velocity dependent scattering problems are solved in the context of E...
Abstract. Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold w...
Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold with bounda...
Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold with bounda...
Abstract. Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold w...
Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold with bounda...
Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold with bounda...
We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over l...
We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over l...
We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over l...
We study the Lorentzian metric independent of the time variable in the cylinder $\mathbb{R}\times\Om...
AbstractIn this paper we consider the problem of the existence and multiplicity for geodesics not to...
Abstract. For a compact Riemannian manifold with boundary, endowed with a magnetic potential α, we c...
Conferencia especializadaThe importance of the singularity theorems in Lorentzian Geometry, which gi...
We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over l...
ABSTRACT—For almost a century, velocity dependent scattering problems are solved in the context of E...