The Cheeger constant of curved tubes
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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.
KeywordsCheeger constant Cheeger set Curved tubes Tubular neighbourhoods of curves Spherical shells
Mathematics Subject Classification28A75 35P15 49Q10 49Q15 49Q20 51M16
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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.