We present a new way to compute the metric terms for discontinuous Galerkin spectral element methods (DGSEMs) that guarantees they are divergence-free. Our proposed mimetic approach uses projections that fit within the de Rham Cohomology. Authors: Daniel Bach (https://www.snubic.io/team#db), Andrés Rueda-Ramírez, David A. Kopriva, Gregor J. Gassner (https://www.snubic.io/team#gg) arXiv: https://arxiv.org/abs/2410.14502