\(QR\)-submanifolds of \((p-1)\) \(QR\)-dimension in a quaternionic projective space \(QP^{(n+p)/4}\)
type: Item
instance of: scholarly article
title: \(QR\)-submanifolds of \((p-1)\) \(QR\)-dimension in a quaternionic projective space \(QP^{(n+p)/4}\)
zbMATH Open document ID: 0955.53031
DOI: 10.1023/A:1006795518714
published in: Acta Mathematica Hungarica
publication date: 2000-11-13T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C26
zbMATH DE Number: 1528631
zbMATH Keywords: quaternionic projective space
zbMATH Keywords: \(QR\)-submanifold
zbMATH Keywords: invariant submanifolds
author: Jung-Hwan Kwon
author: Jin Suk Pak
reviewed by: Bernard Rouxel
MaRDI profile type: Publication
full work available at URL: a:1006795518714
OpenAlex ID: W1718922770
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description: scientific article; zbMATH DE number 1528631