The Cheeger constant of curved tubes

Abstract

We compute the Cheeger constant of spherical shells and tubular neighbourhoods of complete curves in an arbitrary dimensional Euclidean space.

6 pages

References in corpus (3)

• Solutions of the Cheeger problem via torsion functions
• Two examples of minimal Cheeger sets in the plane
• The first eigenvalue of the Laplacian, isoperimetric constants, and the Max Flow Min Cut Theorem

Cited by in corpus (4)

• On the Cheeger problem for rotationally invariant domains
• Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants
• Cylindrical estimates for the Cheeger constant and applications
• Isoperimetric sets and $p$-Cheeger sets are in bijection