On some submanifolds with flat space-like normal bundle in pseudo-Riemannian space forms (Q1300183)

The author studies isometric immersions with parallel mean curvature vector field and flat normal bundle of pseudo-Riemannian spaces \(M_s^n(c)\) of constant sectional curvature \(c\) into pseudo-Riemannian space forms \(Q_s^N(\widetilde{c}).\) Some classification results are given for special cases, for example, (1) all the principle curvatures are real and simple; (2) \(N=n+1;\) or, (3) \(M_s^n(c)\) and \(Q_s^N(\widetilde{c})\) are semi-Euclidean space.