The Cheeger constant of simply connected, solvable Lie groups

Details The Cheeger constant of simply connected, solvable Lie groups The Cheeger constant of simply connected, solvable Lie groups

2002-06-06

arxiv.org/abs/math/0206055v1

Mathematics

Differential Geometry

Scientific paper

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

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