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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 181, Pages 3–8 (Mi into651)

Conditions for the parallelism of the normal curvature tensor of submanifolds

I. I. Bodrenko

"Interactive Systems, Ltd." Volgograd, Russia

Abstract: In this paper, sufficient conditions for the parallelism of the normal curvature tensor of submanifolds in spaces of constant curvature are obtained.

Keywords: submanifold, space of constant curvature, second fundamental form, normal curvature tensor, normal curvature vector, normal torsion vector.

UDC: 514.76

MSC: 53B25, 53C40

DOI: 10.36535/0233-6723-2020-181-3-8



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© Steklov Math. Inst. of RAS, 2024