Abstract
Let for a large universal constant 0> and let be a convex body in such that for any , any choice of signs and for any permutation on elements, we have . We show that if is not a cube, then can be illuminated by strictly less than sources of light. This confirms the Hadwiger-Gohberg-Markus illumination conjecture for unit balls of -symmetric norms in for all sufficiently large .
| Original language | English (US) |
|---|---|
| Pages (from-to) | 372-382 |
| Number of pages | 11 |
| Journal | Mathematika |
| Volume | 63 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2017 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Fingerprint
Dive into the research topics of 'ILLUMINATION of CONVEX BODIES with MANY SYMMETRIES'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver