2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35421Riemannian geometry in four dimensions naturally leads to an SL(3) connection that annihilates a basis for self-dual two-forms. Einstein's equations may be written in terms of an SO(3) connection, with SO(3) chosen as an appropriate subgroup of SL(3). We show how a set of "neighbours" of Einstein's equations arises because the subgroup may be chosen in different ways. An explicit example of a non-Einstein metric obtained in this way is given. Some remarks on three dimensional space-times are made.9 pages, Göteborg, ITP 93-9General Relativity and Quantum CosmologyHigh Energy Physics - Theorytext