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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2012 Number 9, Pages 19–31 (Mi ivm8735)

This article is cited in 3 papers

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

V. A. Mirzoyan, G. S. Machkalyan

State Engineering University of Armenia, Yerevan, Republic of Armenia

Abstract: 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.

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

UDC: 514.752

Received: 11.07.2011


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:9, 14–24

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© Steklov Math. Inst. of RAS, 2024