%0 Journal Article %A Chinea Trujillo, Francisco Javier %T New first integral for twisting type-N vacuum gravitation fields with two non-commuting Killing vectors %D 1998 %@ 0264-9381 %U https://hdl.handle.net/20.500.14352/59446 %X A new first integral for the equations corresponding to twisting type-N vacuum gravitational fields with two non-commuting Kilting vectors is introduced. A new reduction of the problem to a complex second-order ordinary differential equation is given. Alternatively, the mentioned first integral can be used in order to provide a first integral of the second-order complex equation introduced in a previous treatment of the problem. %~