Abstract
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. This leads to a relative isoperimetric inequality for arbitrary hyperplane sections of a convex body.
Original language | English |
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Pages (from-to) | 405-413 |
Number of pages | 9 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 2008 |
DOIs | |
Publication status | Published - 2008 |
Keywords
- hyperplane sections
- inertia moments
- relative isoperimetric inequalities
- volume