This article is cited in 3 papers

Structure theorems for Ricci-semisymmetric submanifolds and geometric description of a class of minimal semi-Einstein submanifolds

V. A. Mirzoyan<sup>ab

a</sup> State Engineering University of Armenia
^b European Regional Academy of the Caucasus

Abstract: 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.

UDC: 514.752

MSC: 53B20, 53B25

Received: 23.05.2005

DOI: 10.4213/sm1592

 English version: Sbornik: Mathematics, 2006, 197:7, 997–1024

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