English

The Cheeger constant of simply connected, solvable Lie groups

Differential Geometry 2007-05-23 v1

Abstract

We show that the Cheeger isoperimetric constant of a solvable simply connected Lie group GG with Lie algebra \G\G is h(G)=maxH\G,H=1\tr(\ad(H))h(G)=\max_{H\in\G,||H||=1} \tr(\ad (H)).

Keywords

Cite

@article{arxiv.math/0206055,
  title  = {The Cheeger constant of simply connected, solvable Lie groups},
  author = {Norbert Peyerimhoff and Evangelia Samiou},
  journal= {arXiv preprint arXiv:math/0206055},
  year   = {2007}
}