2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229703We analyze classical theory of a membrane propagating in a singular background spacetime. The algebra of the first-class constraints of the system defines the membrane dynamics. A membrane winding uniformly around compact dimension of embedding spacetime is described by two constraints, which are interpreted in terms of world-sheet diffeomorhisms. The system is equivalent to a closed bosonic string propagating in a curved spacetime. Our results may be used for finding a quantum theory of a membrane in the compactified Milne space.10 pages, no figures, revtex4; version submitted for publicationGeneral Relativity and Quantum Cosmologytext