It is proved that for a symmetric convex body K in Rn, if for some [formula omitted] depends on [formula omitted] then K is an ellipsoid. As a part of the proof, smoothness properties of convolution bodies are studied.
Bibliographical noteFunding Information:
Dr. Schmuckenschlager acknowledges support from an Erwin Schrodinger stipendium, held at the Johannes Kepler Universitat, Linz, Austria.
ASJC Scopus subject areas
- General Mathematics