Clusters with multiplicities in R2

被引：7
|
作者：
Morgan, F [1 ]
机构：
[1] Williams Coll, Dept Math & Stat, Williamstown, MA 01267 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2005年 / 221卷 / 01期
关键词：
clusters with multiplicities; soap bubbles; immiscible fluids; paired calibrations; flat chains with coefficients in a normed group;
D O I：
10.2140/pjm.2005.221.123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Perimeter-minimizing planar double soap bubbles in which regions are allowed to overlap with multiplicities meet in fours, fives, and sixes as well as threes. We further provide certain generalizations to immiscible fluids and higher dimensions, and an associated theory of calibrations. We work in the category of flat chains with coefficients in a normed group.
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页码：123 / 146
页数：24
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