2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164922The embedding of a manifold M into a Hilbert-space H induces, via the pull-back, a tensor field on M out of the Hermitian tensor on H. We propose a general procedure to compute these tensors in particular for manifolds admitting a Lie-group structure.20 pages, submitted to Int. J. Geom. Meth. Modern PhysicsMathematical Physics51P05; 81Q70text