We study the weighted light ray transform L of integrating functions on a Lorentzian manifold over lightlike geodesics. We analyze L as a Fourier Integral Operator and show that if there are no conjugate points, one can recover the spacelike singularities of a function f from its the weighted light ray transform Lf by a suitable filtered back-projection
AbstractIn this paper we consider the problem of the existence and multiplicity for geodesics not to...
Two separate groups of results are considered. First, the concept of causal completeness first defin...
We present an extension of Geodesics in Lorentzian Manifolds (Semi-Riemannian Manifolds or pseudo-Ri...
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 consider the Cauchy problem and the source problem for normally hyperbolic operators on the Minko...
We study scattering rigidity in Lorentzian geometry: recovery of a Lorentzian metric from the scatte...
AbstractIn this paper we deal with lightlike geodesics in Lorentzian manifolds which are closed with...
AbstractIn this paper a Fermat principle for Lorentzian manifold endowed with a timelike Killing vec...
We study two inverse problems on a globally hyperbolic Lorentzian manifold (M, g). The problems are:...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
This article belongs to a Topical Collection: Singularity theorems, causality, and all that (SCRI21)...
This article belongs to a Topical Collection: Singularity theorems, causality, and all that (SCRI21)...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
AbstractIn this paper we consider the problem of the existence and multiplicity for geodesics not to...
Two separate groups of results are considered. First, the concept of causal completeness first defin...
We present an extension of Geodesics in Lorentzian Manifolds (Semi-Riemannian Manifolds or pseudo-Ri...
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 consider the Cauchy problem and the source problem for normally hyperbolic operators on the Minko...
We study scattering rigidity in Lorentzian geometry: recovery of a Lorentzian metric from the scatte...
AbstractIn this paper we deal with lightlike geodesics in Lorentzian manifolds which are closed with...
AbstractIn this paper a Fermat principle for Lorentzian manifold endowed with a timelike Killing vec...
We study two inverse problems on a globally hyperbolic Lorentzian manifold (M, g). The problems are:...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
This article belongs to a Topical Collection: Singularity theorems, causality, and all that (SCRI21)...
This article belongs to a Topical Collection: Singularity theorems, causality, and all that (SCRI21)...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
AbstractIn this paper we consider the problem of the existence and multiplicity for geodesics not to...
Two separate groups of results are considered. First, the concept of causal completeness first defin...
We present an extension of Geodesics in Lorentzian Manifolds (Semi-Riemannian Manifolds or pseudo-Ri...