2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/180653We construct functions and tensors on noncommutative spacetime by systematically twisting the corresponding commutative structures. The study of the deformed diffeomorphisms (and Poincare) Lie algebra allows to construct a noncomutative theory of gravity.12 pages. Presented at the Erice International School of Subnuclear Physics, 44th course, Erice, Sicily, 29.8- 7.9 2006, and at the Second workshop and midterm meeting of the MCRTN ``Constituents, Fundamental Forces and Symmetries of the Universe" Napoli, 9-13.10 2006High Energy Physics - Theorytext