Submanifolds in Koszul–Vinberg Geometry

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