Plamen Stefanov

activity

20242026

collaborators

5 papers

math.DG2026

The linearized minimal surfaces problem

Haim Grebnev, Plamen Stefanov, Gunther Uhlmann +1

We characterize the kernel of the linearization $R$ of the minimal surface problem about the Euclidean metric in a bounded smooth domain $I^c ◯ \subset R^{n}$ , $n \geq 2$ , with the…

math.DG2026

Scattering rigidity for Hamiltonian systems with an application to Finsler geometry

Nikolas Eptaminitakis, Plamen Stefanov

We study scattering rigidity for Hamiltonian systems on $T^{*} M ∖ 0$ , where $M$ is a manifold with boundary equipped with a positively homogeneous Hamiltonian function $H(x,Î¾…

math.DG2025

The Light ray transform for pseudo-Euclidean metrics

Divyansh Agrawal, Plamen Stefanov

We study the ray transform $L$ over null (light) rays in the pseudo-Euclidean space with signature $(n^{'}, n^{''})$ , $n^{'} \geq 2$ , $n^{''} \geq 2$ . We analyze the normal operator $L^{'} L$ , derive an…

math.AP2025

The DC Kerr Effect in Nonlinear Optics

Nikolas Eptaminitakis, Plamen Stefanov

We use weakly nonlinear geometric optics to study a model for the DC Kerr effect (the Kerr electro-optic effect), in which a light beam propagating through a material with strong n…

math.DG2024

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…