Abstract
We compute the Cheeger constant of tubular neighbourhoods of complete curves in an arbitrary dimensional Euclidean space and raise a question about curved spherical shells.
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Acknowledgments
We are grateful to Vladimir Bobkov for pointing out to us the references [4,5]. The research of D.K. was partially supported by the GACR Grant No. 18-08835S and by FCT (Portugal) through project PTDC/MATCAL/4334/2014.
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Krejčiřík, D., Leonardi, G.P. & Vlachopulos, P. The Cheeger constant of curved tubes. Arch. Math. 112, 429–436 (2019). https://doi.org/10.1007/s00013-018-1282-x
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DOI: https://doi.org/10.1007/s00013-018-1282-x