2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171906This is a survey of our work on spacelike graphic submanifolds in pseudo-Riemannian products, namely on Heinz-Chern and Bernstein-Calabi results and on the mean curvature flow, with applications to the homotopy of maps between Riemannian manifolds.Contribution to the VIII International Colloquium on Differential Geometry, Santiago de Compostela, Spain, 7-11 July 2008, satellite event of the 5th European Congress of MathematicsDifferential Geometry58D25; 53C21; 53C42; 53C50; 35K55text