The Cheeger constant of simply connected, solvable Lie groups

Peyerimhoff, N.; Samiou, E.

Abstract

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.

Citation

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

• Journal Article Type: Article
• Publication Date: 2004
• Journal: Proceedings of the American Mathematical Society
• Print ISSN: 0002-9939
• Publisher: American Mathematical Society
• Peer Reviewed: Peer Reviewed
• Volume: 132
• Issue: 5
• Pages: 1525-1529