Variations of Dirichlet-to-Neumann map and deformation boundary rigidity of simple 2-manifolds

On an inverse boundary value problem

Alberto P. Calderón · Computational and Applied Mathematics · 2006 · 815 citations · Full text

Natural Sciences, Mathematics, Differential Equations +10

Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable.

Syed Muslim Shah, Lars V. Ahlfors · American Mathematical Monthly · 1968 · 721 citations

Natural Sciences, Mathematics, Algebra +13

Curvature and Betti Numbers

S. Bochner · Annals of Mathematics · 1948 · 679 citations

Natural Sciences, Mathematics, Geometry +15

Determining anisotropic real‐analytic conductivities by boundary measurements

John M. Lee, Günther Uhlmann · Communications on Pure and Applied Mathematics · 1989 · 408 citations

Natural Sciences, Electrical Engineering, Physics +12

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

Leonid Pestov, Günther Uhlmann · Annals of Mathematics · 2005 · 222 citations · Full text

Natural Sciences, Mathematics, Geometry +10