STRINGS IN SPACE-TIME COTANGENT BUNDLE AND T-DUALITY

A simple geometric description of T-duality is given by identifying th e cotangent bundles of the original and the dual manifold. Strings pro pagate naturally in the cotangent bundle and the original and the dual string phase spaces are obtained by different projections. Buscher's transformation follows readily and it is literally projective. As an a pplication of the formalism, we prove that the duality is a symplectom orphism of the string phase spaces.