Liu, Jiancheng; Wang, Lili Pseudo-parallel space-like submanifolds of pseudo-Riemannian space forms. (Chinese. English summary) Zbl 1240.53077 J. Northwest Norm. Univ., Nat. Sci. 46, No. 6, 15-18 (2010). Summary: The main purpose of this paper is to study space-like submanifolds of pseudo-Riemannian space forms. A necessary and sufficient condition for space-like hypersurfaces to be pseudo-parallel ones is obtained. Using Jordan triple system, a sufficient condition for pseudo-parallel space-like submanifolds to be totally geodesic ones is also given. MSC: 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C40 Global submanifolds 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) Keywords:pseudo-Riemannian space; pseudo-parallel; \(H\)-parallel; space-like submanifold PDFBibTeX XMLCite \textit{J. Liu} and \textit{L. Wang}, J. Northwest Norm. Univ., Nat. Sci. 46, No. 6, 15--18 (2010; Zbl 1240.53077)