@misc{10481/72281,
year = {2022},
month = {4},
url = {http://hdl.handle.net/10481/72281},
abstract = {Given a compact Riemannian manifold with density M without boundary and the real line R with constant density, we prove that isoperimetric regions of large volume in M×R with the product density are slabs of the form M×[a,b]. We previously prove, as a necessary step, the existence of isoperimetric regions in any manifold of density where a subgroup of the group of transformations preserving weighted perimeter and volume acts cocompactly.},
organization = {CBUA},
organization = {Junta de Andalucía, Spain},
organization = {MEC-Feder

MTM2017-84851-C2-1-P, PID2020-118180GB-I00},
organization = {MICINN-FEDER

MTM2010-21206-C02-01, MTM2013-48371-C2-1-P},
organization = {Universidad de Granada},
organization = {Junta de Andalucía

A-FQM-441-UGR18, P20-00164},
publisher = {Elsevier},
keywords = {Existence of isoperimetric regions},
keywords = {Manifolds with density},
keywords = {Preserving isometries},
keywords = {Cocompactly},
keywords = {Cylinders with density},
title = {Isoperimetric inequalities in cylinders with density},
doi = {10.1016/j.na.2021.112726},
author = {Castro, Katherine},
}