  Vacuum expectation values of the energy-momentum tensor for a conformally
coupled scalar field is investigated in de Sitter (dS) spacetime in presence of
a curved brane on which the field obeys the Robin boundary condition with
coordinate dependent coefficients. To generate the corresponding vacuum
densities we use the conformal relation between dS and Rindler spacetimes and
the results previously obtained by one of the authors for the Rindler
counterpart. The resulting energy-momentum tensor is non-diagonal and induces
anisotropic vacuum stresses. The asymptotic behaviour of this tensor is
investigated near the dS horizon and the boundary.
