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.
Peri, C., Hyperplane sections of convex bodies, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2008; 2008 (343): 405-413. [doi:10.1016/j.jmaa.2008.01.069] [http://hdl.handle.net/10807/36713]
Hyperplane sections of convex bodies
Peri, Carla
2008
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.
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