Electrostatic characterization of spheres

  • Wolfgang Reichel (Universität Basel)
G3 10 (Lecture hall)


Among all surfaces of convex bodies the sphere is shown to be unique with respect to the property that, in the absence of exterior fields, electric charges distribute homogeneously on the surface. The proof involves maximum principles, the isoperimetric inequality and convex analysis.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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