The sum rules related to thick braneworlds are constructed, in order to
encompass Gauss-Bonnet terms. The generation of thick branes is hence proposed
in a periodic extra dimension scenario, what circumvents the
Gibbons-Kallosh-Linde no-go theorem in this context.Comment: 6 pages, to appear in the EPL. arXiv admin note: text overlap with
arXiv:1406.632