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arxiv: math/0206055 · v1 · submitted 2002-06-06 · 🧮 math.DG

The Cheeger constant of simply connected, solvable Lie groups

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keywords cheegerconnectedconstantsimplysolvablealgebragroupgroups
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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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