Abstract
On finite codimensional submanifolds of the Wiener space, the Ricci Gaussian curvature is defined and used to prove a Weitzenböck-Bochner identity. From this identity, Sobolev estimates of the divergence of a vector field are obtained. Moreover, using the method of the Malliavin calculus, covariant differentiation, Christoffel symbols and brackets of two vector fields are defined.
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