Shadow systems and volume of polar convex bodies
| dc.creator | Meyer, Mathieu | |
| dc.creator | Reisner, Shlomo | |
| dc.date | 2006-06-13 | |
| dc.date | 2008-07-14 | |
| dc.date.accessioned | 2026-07-07T09:49:54Z | |
| dc.date.available | 2026-07-07T09:49:54Z | |
| dc.description | We prove that the reciprocal of the volume of the polar bodies, about the Santaló point, of a {\em shadow system} of convex bodies $K_t$, is a convex function of $t$. Thus extending to the non-symmetric case a result of Campi and Gronchi. The case that the reciprocal of the volume is an affine function of $t$ is also investigated and is characterized under certain conditions. We apply these results to prove exact reverse Santaló inequality for polytopes in $\rd{d}$ that have at most $d+3$ vertices. | |
| dc.description | Mathematika 53 (2006), 129-148, here are some corrections of misprints | |
| dc.identifier | https://arxiv.org/abs/math/0606305 | |
| dc.identifier | http://arxiv.org/abs/math/0606305 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164766 | |
| dc.subject | Metric Geometry | |
| dc.subject | Functional Analysis | |
| dc.title | Shadow systems and volume of polar convex bodies | |
| dc.type | text |