We study nondegenerate isometric immersions of Lorentzian manifolds of constant sectional curvatures into Lorentzian space
form of the same constant sectional curvatures which have flat normal bundles. We also give a method to produce such immersions
using the Lorentzian Grassmannian systems.
isometric immersion - space form - Lorentzian manifold - constant sectional curvature - flat connection - nondegenerate - Grassmannian system