  We discuss pseudoduality transformations in two dimensional conformally
invariant classical sigma models, and extend our analysis to a given boundaries
of world-sheet, which gives rise to an appropriate framework for the discussion
of the pseudoduality between D-branes. We perform analysis using the Euclidean
spacetime and show that structures on the target space can be transformed into
pseudodual manifold identically. This map requires that torsions and curvatures
related to individual spaces are the same when connections are riemannian.
Boundary pseudoduality imposes locality condition.
