Lipschitz 1-connectedness for some solvable Lie groups
Group Theory
2019-08-15 v1
Abstract
A space X is said to be Lipschitz 1-connected if every L-Lipschitz loop in X bounds a O(L)-Lipschitz disk. A Lipschitz 1-connected space admits a quadratic isoperimetric inequality, but it is unknown whether the converse is true. Cornulier and Tessera showed that certain solvable Lie groups have quadratic isoperimetric inequalities, and we extend their result to show that these groups are Lipschitz 1-connected.
Keywords
Cite
@article{arxiv.1612.03492,
title = {Lipschitz 1-connectedness for some solvable Lie groups},
author = {David Bruce Cohen},
journal= {arXiv preprint arXiv:1612.03492},
year = {2019}
}
Comments
29 pages, 3 figures