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Semisymmetric submanifolds. (Russian) Zbl 0747.53045

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.

MSC:

53C40 Global submanifolds
53-02 Research exposition (monographs, survey articles) pertaining to differential geometry
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