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P. Stefanov

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Preprint Sep 2026

Local rigidity of conformally Euclidean metrics for the anisotropic Calder\'on problem

We prove local rigidity of every smooth conformally Euclidean metric for the anisotropic Calder\'on 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 Diric...

Sebasti'an Munoz-Thon, P. Stefanov · 1 citation
Preprint Sep 2026

Local rigidity of the Euclidean metric for the anisotropic Calder\'on problem

We prove local rigidity of the Euclidean metric and close conformally Euclidean ones for the anisotropic Calder\'on problem on smooth compact domains $M\subset\mathbb{R}^n$, $n\ge3$. A smooth Riemannian metric $g$ with the same induced boundary metric and Dirichlet-to-Neumann map as the background $g_0$ is isometric to...

P. Stefanov · 1 citation

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