A submanifold in $P^n$ with parallel normal subbundle which is normalized in the sense of Norden
Matematičeskie zametki, Tome 22 (1977) no. 5, pp. 649-662
Cet article a éte moissonné depuis la source Math-Net.Ru
The concept of a $p$-dimensional parallel subbundle of the normal bundle of a submanifold $V^m$ of $n$-dimensional protective space $P^n$ normalized in the sense of Norden [1] is introduced. The local structure of such manifolds is studied. The structure is also investigated of submanifolds $V^m$ which have normal subbundles with a flat projective connection. Their structure is closely related with the structure of tangentially degenerate submanifolds [2, 3] and submanifolds admitting a dual normalization [4].
@article{MZM_1977_22_5_a5,
author = {A. V. Chakmazyan},
title = {A~submanifold in $P^n$ with parallel normal subbundle which is normalized in the sense of {Norden}},
journal = {Matemati\v{c}eskie zametki},
pages = {649--662},
year = {1977},
volume = {22},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_5_a5/}
}
A. V. Chakmazyan. A submanifold in $P^n$ with parallel normal subbundle which is normalized in the sense of Norden. Matematičeskie zametki, Tome 22 (1977) no. 5, pp. 649-662. http://geodesic.mathdoc.fr/item/MZM_1977_22_5_a5/