Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2005; 42(4): 655-672

Printed July 1, 2005

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

Abstract

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