2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113737In the search for a classification of BPS backgrounds with flux, we look at geometries that arise when M-branes wrap supersymmetric cycles in Calabi-Yau manifolds. We find constraints on the differential forms in the back-reacted manifolds and discover that the calibration corresponding to the (background generating) M-brane is a co-closed form.7 pages. Contribution to proceedings of 12th Regional Conference in Mathematical Physics, Islamabad, March 2006High Energy Physics - TheoryBPS M-Brane Geometriestext