Isometric Spacelike Immersions of Space Forms in Indefinite Space Forms

摘要

Let M be a connected n-dimensional space form spacelike isometrically immersed in a (2n -1)-dimensional indefinite space form. If M is maximal, we prove that either M is totally geodesic or M is apiece of the n-dimensional hyperbolic cylinder in the (2n - 1)-dimensional pseudo-hyperbolic space.``