Target space pseudoduality between dual symmetric spaces

A set of on shell duality equations is proposed that leads to a map between strings moving on symmetric spaces with opposite curvatures. The transform ation maps "waves" on a Riemannian symmetric space M to "waves" on its dual Riemannian symmetric space (M) over tilde. This transformation preserves t he energy momentum tensor though it is not a canonical transformation. The preservation of the energy momentum tensor has a natural geometrical interp retation. The transformation maps "particle-like solutions" into static "so liton-like solutions". The results presented here generalize earlier result s of E. Ivanov. (C) 2000 Elsevier Science B.V. All rights reserved.