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math.DG2003
The moduli space of 6-dimensional 2-step nilpotent Lie algebras
Sergio Console, Anna Fino, Evangelia Samiou
We determine the moduli space of metric 2-step nilpotent Lie algebras of dimension up to 6. This space is homeomorphic to a cone over a 4-dimensional contractible simplicial comple…
math.DG2002
The Cheeger constant of simply connected, solvable Lie groups
Norbert Peyerimhoff, Evangelia Samiou
We show that the Cheeger isoperimetric constant of a solvable simply connected Lie group with Lie algebra $\G$ is $h(G)=\max_{H\in\G,||H||=1} \tr(\ad (H))$.