We study whether the solutions for the symmetric part of the connection in homogeneous biconformal space also satisfy the more general field equation of curved biconformal spaces. We show that the six field equations for the torsion and co-torsion are satisfied by vanishing torsion together with the Lorentzian form of the metric when γ+ = 0.
Wheeler, James Thomas, "Studies in torsion free biconformal spaces" (2015). All Physics Faculty Publications. Paper 2009.