Higher divergence for nilpotent groups

The higher divergence of a metric space describes its isoperimetric behaviour at infinity. It is closely related to the higher-dimensional Dehn functions, but has more requirements to the fillings. We prove that these additional requirements do not have an essential impact for many nilpotent Lie gro...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2018-07
Main Author: Gruber, Moritz
Format: Article
Language:English
Subjects:
Divergence
Lie groups
Metric space
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The higher divergence of a metric space describes its isoperimetric behaviour at infinity. It is closely related to the higher-dimensional Dehn functions, but has more requirements to the fillings. We prove that these additional requirements do not have an essential impact for many nilpotent Lie groups. As a corollary, we obtain the higher divergence of the Heisenberg groups in all dimensions.
ISSN:2331-8422