Lorentzian Submanifolds in Lorentzian Space Form with the Same Constant Curvatures

摘要

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.