Lumiste, Ü. G. Semisymmetric submanifolds. (Russian) Zbl 0747.53045 Itogi Nauki Tekh., Ser. Probl. Geom. 23, 3-28 (1991). The paper under consideration is a survey on the semisymmetric and \(k\)- parallel submanifolds in Euclidean spaces or in constant curvature spaces. The author discusses: 1) Classification theorems for semisymmetric submanifolds; 2) normally flat semisymmetric submanifolds; 3) submanifolds with parallel third fundamental form; 4) submanifolds with parallel higher order fundamental forms. Reviewer: A.V.Borisov (Sofia) Cited in 4 ReviewsCited in 7 Documents MSC: 53C40 Global submanifolds 53-02 Research exposition (monographs, survey articles) pertaining to differential geometry Keywords:normally flat semisymmetric submanifolds; parallel higher order fundamental forms; survey; bibliography PDFBibTeX XMLCite \textit{Ü. G. Lumiste}, Itogi Nauki Tekh., Ser. Probl. Geom. 23, 3--28 (1991; Zbl 0747.53045)