\(QR\)-submanifolds of \((p-1)\) \(QR\)-dimension in a quaternionic projective space \(QP^{(n+p)/4}\) (Q1586344)

The authors study \(QR\)-submanifolds of \((p-1)\) \(QR\)-dimension in a quaternionic projective space \(QP^{(n+p)/4}\) and obtain quaternionic analogues to theorems established by the authors [Saitama Math. J. 15, 55-65 (1997; Zbl 0921.53022)] and \textit{M. Okumura} and \textit{L. Vanhecke} [Rend. Circ. Mat. Palermo, II. Ser. 43, 233-249 (1994; Zbl 0824.53030)]. They give sufficient conditions in order for such a submanifold to be a tube over a quaternionic invariant submanifold.