This article is cited in 2 papers

A submanifold in $P^n$ with parallel normal subbundle which is normalized in the sense of Norden

A. V. Chakmazyan

Armenian State Teachers' Training Institute

Abstract: 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].

UDC: 513.73

Received: 20.04.1976

 English version: Mathematical Notes, 1977, 22:5, 853–860

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