Volume ratios and a reverse isoperimetric inequality
| dc.creator | Ball, Keith | |
| dc.date | 1989-10-26 | |
| dc.date.accessioned | 2026-07-07T09:14:40Z | |
| dc.date.available | 2026-07-07T09:14:40Z | |
| dc.description | It is shown that if $C$ is an $n$-dimensional convex body then there is an affine image $\widetilde C$ of $C$ for which $${|\partial \widetilde C|\over |\widetilde C|^{n-1\over n}}$$ is no larger than the corresponding expression for a regular $n$-dimensional ``tetrahedron''. It is also shown that among $n$-dimensional subspaces of $L_p$ (for each $p\in [1,\infty]), \ell^n_p$ has maximal volume ratio.\vskip3in | |
| dc.identifier | https://arxiv.org/abs/math/9201205 | |
| dc.identifier | http://arxiv.org/abs/math/9201205 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152755 | |
| dc.subject | Metric Geometry | |
| dc.subject | Functional Analysis | |
| dc.subject | 52A20 | |
| dc.title | Volume ratios and a reverse isoperimetric inequality | |
| dc.type | text |