Gürses's type (b) transformations are neighborhood isometries.

Following an idea close to one given by C. G. Torre (private communication), we prove that Riemannian spaces (M,g) and (M,h) that are related by a Gürses type (b) transformation [M. Gürses, Phys. Rev. Lett. 70, 367 (1993)] or, equivalently, by a Torre-Anderson generalized diffeomorphism [C. G. Torre and I. M. Anderson, Phys. Rev. Lett. xx, xxx (1993)] are neighborhood-isometric, i.e., every point x in M has a corresponding diffeomorphism φ of a neighborhood V of x onto a generally different neighborhood W of x such that φ(h|W ) = g|V . Home address: 4500 19th Street, No. 342, Boulder, CO 80304. A private company supporting research of F. J. Ernst and I. Hauser in classical general relativity theory.