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On the normality of an almost contact $3$ -structure on $Q R$ -submanifolds

Shoichi Funabashi; Jin Suk Pak; Yang Jae Shin — 2003

Czechoslovak Mathematical Journal

We study $n$ -dimensional $Q R$ -submanifolds of $Q R$ -dimension $(p - 1)$ immersed in a quaternionic space form $Q P^{(n + p) / 4} (c)$ , $c ≧ 0$ , and, in particular, determine such submanifolds with the induced normal almost contact $3$ -structure.

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On the normality of an almost contact 3 -structure on Q R -submanifolds

On the normality of an almost contact $3$ -structure on $Q R$ -submanifolds