  The effective field equations on a 3-brane are established considering the
massless bosonic sector of the type IIB string compactified on S^5. The
covariant embedding formalism in a space endowed with Z_2-symmetry is applied.
Recently the derivation of effective equations on the 3-brane, where only
gravity penetrates in the bulk has been performed by Shiromizu, Maeda, and
Sasaki. We extend this analysis to the situation when the bulk contains a set
of fields given by the type IIB string. The notion of the Einstein-Cartan space
is considered in order to avoid extra suppositions about the embedding of these
fields. The interactions between the brane and the bulk fields are understood
in a purely geometric way, which fixes the form of these interactions. Finally,
we present the dynamically equivalent effective equations have expressed
completely in Riemannian terms and make conclusions.
