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J. Korean Math. Soc. 2005; 42(4): 655-672
Printed July 1, 2005
https://doi.org/10.4134/JKMS.2005.42.4.655
Copyright © The Korean Mathematical Society.
$QR$-submanifolds of maximal $QR$-dimension in quaternionic projective space
Hyang Sook Kim and Jin Suk Pak
Inje University, Kyungpook National University
The purpose of this paper is to study $n$-dimensional $QR$-submanifolds of maximal $QR$-dimension isometrically immersed in a quaternionic projective space and to give sufficient conditions in order for such a submanifold to be a tube over a quaternionic invariant submanifold.
Keywords: quaternionic projective space, $QR$-submanifold, Ricci tensor, scalar curvature, mean curvature
MSC numbers: 53C40, 53C25
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