Abstract
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.
Original language | English |
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Pages (from-to) | 278-289 |
Number of pages | 12 |
Journal | Mathematika |
Volume | 40 |
Issue number | 2 |
DOIs | |
State | Published - 1993 |
Bibliographical note
Funding Information:Dr. Schmuckenschlager acknowledges support from an Erwin Schrodinger stipendium, held at the Johannes Kepler Universitat, Linz, Austria.
ASJC Scopus subject areas
- General Mathematics