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We discuss pseudoduality transformations in two dimensional conformallyinvariant classical sigma models, and extend our analysis to a given boundariesof world-sheet, which gives rise to an appropriate framework for the discussionof the pseudoduality between D-branes. We perform analysis using the Euclideanspacetime and show that structures on the target space can be transformed intopseudodual manifold identically. This map requires that torsions and curvaturesrelated to individual spaces are the same when connections are riemannian.Boundary pseudoduality imposes locality condition.

Euclidean Pseudoduality and Boundary Conditions in Sigma Models