%0 Journal Article %A Chinea Trujillo, Francisco Javier %T Integrability formulation and bäcklund-transformations for gravitational-fields with symmetries %D 1981 %@ 1550-7998 %U https://hdl.handle.net/20.500.14352/64980 %X The Ernst equation for gravitational fields with a two-parameter isometry group is formulated as a vanishing-curvature condition on an SU(2) or SU(1,1) bundle, both in the elliptic and hyperbolic cases. Bäcklund transformations are introduced as a special case of gauge transformations, and strong Bäcklund transformations are obtained in that context. %~