  A Koszul-Vinberg manifold is a manifold $M$ endowed with a pair $(\nabla,h)$
where $\nabla$ is a flat connection and $h$ is a symmetric bivector field
satisfying a generalized Codazzi equation. The geometry of such manifolds could
be seen as a type of bridge between Poisson geometry and pseudo-Riemannian
geometry, as has been highlighted in our previous article
[\textit{Contravariant Pseudo-Hessian manifolds and their associated Poisson
structures}. \rm{Differential Geometry and its Applications} (2020)]. Our
objective here will be to pursue our study by focusing in this setting on
submanifolds by taking into account some developments in the theory of Poisson
submanifolds.
