On complete spacelike submanifolds with second fundamental form locally timelike in a semi-Riemannian space form

In this work we obtain a Simon’s type inequality for a suitable tensor and apply it in order to obtain some results on a complete nn-dimensional spacelike submanifold MnMn with parallel mean curvature vector and second fundamental form locally timelike in an (n+p)(n+p)-dimensional semi-Riemannian space form, Nqn+p(c) of index qq (1≤q≤p1≤q≤p).