A Bonnet theorem for isometric immersions into products of space forms (Q607709)

The classical Bonnet theorem give a necessary and sufficient condition for the existence of an isometric immersion of a Riemannian manifold as a (hyper-)surface in Euclidean space. In the present paper the authors extend this to the case of a semi-Riemannian manifold and a product of semi-Riemannian space forms as the ambient space.