A note on the Busemann-Petty problem for bodies of certain invariance
| dc.creator | Zymonopoulou, Marisa | |
| dc.date | 2008-11-10 | |
| dc.date | 2008-11-20 | |
| dc.date.accessioned | 2026-07-07T10:19:23Z | |
| dc.date.available | 2026-07-07T10:19:23Z | |
| dc.description | The Busemann-Petty problem asks whether origin symmetric convex bodies in $\R^n$ with smaller hyperplane sections necessarily have smaller volume. The answer is affirmative if $n\leq 3$ and negative if $n\geq 4.$ We consider a class of convex bodies that have a certain invariance property with respect to their ordered k-tuples of coordinates in $\R^{kn}$ and prove the corresponding problem. | |
| dc.identifier | https://arxiv.org/abs/0811.1593 | |
| dc.identifier | http://arxiv.org/abs/0811.1593 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174490 | |
| dc.subject | Functional Analysis | |
| dc.title | A note on the Busemann-Petty problem for bodies of certain invariance | |
| dc.type | text |