Normally flat $\mathrm{Ric}$-semisymmetric submanifolds in Euclidean spaces

V. A. Mirzoyan ; G. S. Machkalyan

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2012), pp. 19-31.

Résumé

We study properties of principal curvature vectors of normally flat $\mathrm{Ric}$-semisymmetric submanifolds in Euclidean spaces and give a geometric description of two particular classes of such submanifolds.

Détail

Keywords: $\mathrm{Ric}$-semisymmetric submanifolds, Einstein submanifolds, semi-Einstein submanifolds.

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