High-Dimensional Fillings in Heisenberg Groups

被引：0
作者：
Robert Young
机构：
[1] University of Toronto,Department of Mathematics
[2] New York University,Courant Institute of Mathematical Sciences
来源：
The Journal of Geometric Analysis | 2016年 / 26卷
关键词：
Heisenberg group; Carnot geometry; Sub-Riemannian geometry; Filling inequalities; Dehn functions; Primary 20F65; Secondary 20F18;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We use intersections with horizontal manifolds to show that high-dimensional cycles in the Heisenberg group can be approximated efficiently by simplicial cycles. This lets us calculate all of the higher-order Dehn functions of the Heisenberg groups, thus proving a conjecture of Gromov.
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页码：1596 / 1616
页数：20
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