277 citations · 627 across the 49 of their papers we have counts for
19 papers · 1 filter
The linearized minimal surfaces problem
Haim Grebnev, Plamen Stefanov, Gunther Uhlmann +1
We characterize the kernel of the linearization of the minimal surface problem about the Euclidean metric in a bounded smooth domain , , with the b…
Scattering rigidity for Hamiltonian systems with an application to Finsler geometry
Nikolas Eptaminitakis, Plamen Stefanov
We study scattering rigidity for Hamiltonian systems on , where is a manifold with boundary equipped with a positively homogeneous Hamiltonian function $H(x,ξ)…
The Light ray transform for pseudo-Euclidean metrics
Divyansh Agrawal, Plamen Stefanov
We study the ray transform over null (light) rays in the pseudo-Euclidean space with signature , , . We analyze the normal operator , derive an…
Boundary determination and local rigidity of analytic metrics in the Lorentzian scattering rigidity problem
Plamen Stefanov
We study the scattering rigidity problem in Lorentzian geometry: recovery of a Lorentzian metric from the scattering relation known on a lateral timelike boundary. We show that one…
The Lorentzian scattering rigidity problem and rigidity of stationary metrics
Plamen Stefanov
We study scattering rigidity in Lorentzian geometry: recovery of a Lorentzian metric from the scattering relation known on a lateral boundary. We show that, un…
X-ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds
C. Robin Graham, Colin Guillarmou, Plamen Stefanov +1
We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivity of the X-ray transform in several cases and consider the non-linear inverse p…