The Cheeger constant of simply connected, solvable Lie groups

DOI10.1090/S0002-9939-03-07404-5zbMath1045.53033arXivmath/0206055WikidataQ115290152 ScholiaQ115290152MaRDI QIDQ4452253

Evangelia Samiou, Norbert Peyerimhoff

Publication date: 12 February 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206055

zbMATH Keywords

isoperimetric inequalityCheeger constantcomplete Riemannian manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25)

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Spherical spectral synthesis and two-radius theorems on Damek-Ricci spaces ⋮ Isoperimetric domains of large volume in homogeneous three-manifolds ⋮ Spectral estimates for Riemannian submersions with fibers of basic mean curvature ⋮ Integral geometric properties of non-compact harmonic spaces ⋮ Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces ⋮ Spherical means on compact locally symmetric spaces of non-positive curvature

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