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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2011 Volume 75, Issue 6, Pages 47–78 (Mi im4120)

Normally flat semi-Einstein submanifolds of Euclidean spaces

V. A. Mirzoyanab

a State Engineering University of Armenia
b Russian State University of Tourism and Service, Erevan Branch

Abstract: We give a geometric description of some classes of normally flat semi-Einstein submanifolds in Euclidean spaces.

Keywords: Ricci-semisymmetric manifolds, Einstein submanifolds, semi-Einstein submanifolds.

UDC: 514.752.44

MSC: 53A07, 53B25, 53C25

Received: 15.06.2009
Revised: 12.12.2010

DOI: 10.4213/im4120


 English version:
Izvestiya: Mathematics, 2011, 75:6, 1135–1164

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© Steklov Math. Inst. of RAS, 2024