Structure theorems for Ricci-semisymmetric submanifolds

V. A. Mirzoyan

Sbornik. Mathematics, Tome 197 (2006) no. 7, pp. 997-1024

Résumé

Structure results are proved for submanifolds of Euclidean spaces with semiparallel Ricci tensor under certain additional conditions. Minimal submanifolds are studied in greater detail. A geometric description of a class of normally flat semi-Einstein submanifolds with multiple principal curvature vectors is presented. Bibliography: 36 titles.

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