Hyperplane sections of convex bodies

Carla Peri

doi:10.1016/j.jmaa.2008.01.069

Hyperplane sections of convex bodies

Carla Peri

Università Cattolica del Sacro Cuore

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

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
Pages (from-to)	405-413
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	2008
DOIs	https://doi.org/10.1016/j.jmaa.2008.01.069
Publication status	Published - 2008

Keywords

hyperplane sections
inertia moments
relative isoperimetric inequalities
volume

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10.1016/j.jmaa.2008.01.069

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title = "Hyperplane sections of convex bodies",

abstract = "We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R\textasciicircum{}n. This leads to a relative isoperimetric inequality for arbitrary hyperplane sections of a convex body.",

keywords = "hyperplane sections, inertia moments, relative isoperimetric inequalities, volume, hyperplane sections, inertia moments, relative isoperimetric inequalities, volume",

author = "Carla Peri",

year = "2008",

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language = "English",

volume = "2008",

pages = "405--413",

journal = "Journal of Mathematical Analysis and Applications",

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KW - hyperplane sections

KW - inertia moments

KW - relative isoperimetric inequalities

KW - volume

KW - hyperplane sections

KW - inertia moments

KW - relative isoperimetric inequalities

KW - volume

UR - http://hdl.handle.net/10807/36713

U2 - 10.1016/j.jmaa.2008.01.069

DO - 10.1016/j.jmaa.2008.01.069

M3 - Article

SN - 0022-247X

VL - 2008

SP - 405

EP - 413

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

Hyperplane sections of convex bodies

Abstract

Keywords

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