On Ricci Curvatures of Hypersurfaces in Abstract Wiener Spaces

Several concrete examples of hypersurfaces, i.e., submanifolds of codimension 1, in abstract Wiener space will be given to study how the signs of their Ricci curvatures varies. As a result, it will be concluded that the Ricci curvature is no longer a geometrical object in contrast with the curvatures of finite dimensional manifolds.