Year: 2026
Type: preprint
Abstract: We prove local rigidity of every smooth conformally Euclidean metric for the anisotropic Calderón problem on smooth compact domains $M\subset\mathbb R^n$, $n\ge3$. Any smooth Riemannian metric $g$ sufficiently close to a fixed background $g_0=e^{2c}\mathsf e$ in $H^s(M)$, with integer $s>n/2+1$, having the same Dirichlet-to-Neumann map satisfies $g=Φ^*g_0$ for a smooth diffeomorphism $Φ$ fixing the boundary pointwise.
Source: arXiv (Cornell University)
Authors: Muñoz-Thon, Sebastián, Stefanov, Plamen
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
Award: Nonlinear Inverse Problems
OpenAlex ID: W7213327559