2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52053A new solution to Einstein's equations with a negative bulk cosmological constant in infinite (1+5)-spacetime is found. It is shown that the zero modes of all kinds of matter fields and 4-gravity are localized in (1+3) subspace by the increasing and limited from above warp factor.7 pages; revtex4; minor changes, added referencesHigh Energy Physics - TheoryBrane in 6D and localization of matter fieldstext