2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61279It was pointed out that the space of hermitian triples is an anology of the hermitian connection space. Generalizing the Ashtekar - Isham procedure one can quantize the space of hermitian triples as well as the original one. Here we add an example how this similarity can be exploited in a quantum theory of riemannian geometry.6 pages AMStex without figuresDifferential GeometryThe space of hermitian triples and the Ashtekar - Isham quantizationtext