Geodesic
Conditions for the parallelism of the normal curvature tensor of submanifolds
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 3-8

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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
Mots-clés : normal torsion vector. 
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     author = {I. I. Bodrenko},
     title = {Conditions for the parallelism of the normal curvature tensor of submanifolds},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--8},
     publisher = {mathdoc},
     volume = {181},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_181_a0/}
}
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I. I. Bodrenko. Conditions for the parallelism of the normal curvature tensor of submanifolds. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 3-8. http://geodesic.mathdoc.fr/item/INTO_2020_181_a0/