2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36485This is not for the faint of heart, for we here provide the full details concerning the statement and proof of a generalized Geroch conjecture involving not the usual analytic functions but instead functions that are merely C^3.216 pages plus optional 2-page table of contentsGeneral Relativity and Quantum CosmologyGroup structure of the solution manifold of the hyperbolic Ernst equation --- general study of the subject and detailed elaboration of mathematical proofstext