1. On the normality of an almost contact $3$-structure on $QR$-submanifolds Creator: Funabashi, Shoichi , Pak, Jin Suk , and Shin, Yang Jae Format: bez média and svazek Type: model:article and TEXT Subject: quaternionic projective space, quaternionic number space, $QR$-submanifold, and normal almost contact $3$-structure Language: English Description: We study $n$-dimensional $QR$-submanifolds of $QR$-dimension $(p-1)$ immersed in a quaternionic space form $QP^{(n+p)/4}(c)$, $c\geqq 0$, and, in particular, determine such submanifolds with the induced normal almost contact $3$-structure. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public