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The Cheeger constant of simply connected, solvable Lie groups (2004)
Journal Article
Peyerimhoff, N., & Samiou, E. (2004). The Cheeger constant of simply connected, solvable Lie groups. Proceedings of the American Mathematical Society, 132(5), 1525-1529

We show that the Cheeger isoperimetric constant of a solvable simply connected Lie group G with Lie algebra g is h(G) = max tr(ad(H)), where the maximum is taken over all vectors H in g with norm one.