2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121812We propose a modification of the three-manifold invariant based on the use of Euclidean metric values ascribed to the elements of manifold triangulation. We thus obtain a nontrivial invariant that can, in particular, distinguish non-homeomorphic lens spaces.20 pages, 3 figuresAlgebraic TopologyGeometric TopologyEuclidean simplices and invariants of three-manifolds: a modification of the invariant for lens spacestext