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

Risultato della ricerca: Contributo in rivista › Articolo › peer review

44 Citazioni (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.

Lingua originale	Inglese
pagine (da-a)	405-413
Numero di pagine	9
Rivista	Journal of Mathematical Analysis and Applications
Volume	2008
DOI	https://doi.org/10.1016/j.jmaa.2008.01.069
Stato di pubblicazione	Pubblicato - 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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KW - inertia moments

KW - relative isoperimetric inequalities

KW - volume

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JO - Journal of Mathematical Analysis and Applications

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ER -

Hyperplane sections of convex bodies

Abstract

Keywords

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