Slicing convex sets and measures by a hyperplane

被引：18

作者：

Barany, Imre ^{[1
,2
]}

Hubard, Alfredo ^{[3
]}

Jeronimo, Jesus ^{[4
]}

机构：

[1] Hungarian Acad Sci, Renyi Inst Math, H-1364 Budapest, Hungary

[2] UCL, Dept Math, London WC1E 6BT, England

[3] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

[4] Ctr Invest Matemat AC, Guanajuato, Mexico

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2008年 / 39卷 / 1-3期

关键词：

convex bodies; well separated families; sections of convex sets and measures;

D O I：

10.1007/s00454-007-9021-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Given convex bodies K(1), ..., K (d) in R(d) supercript stop and numbers alpha (1), ..., alpha (d) is an element of [0,1], we give a sufficient condition for existence and uniqueness of an (oriented) halfspace H with Vol(H boolean AND K(i) )=alpha (i) . VolK(i) for every i. The result is extended from convex bodies to measures.

引用

页码：67 / 75

页数：9

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