Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2003; 40(4): 613-631

Printed December 1, 2003

Copyright © The Korean Mathematical Society.

Some curvature conditions of $n$-dimensional $QR$-submanifolds of $(p-1)$ $QR$-dimension in a quaternionic projective space $QP^{(n+p)/4}$

Jin Suk Pak and Won-Ho Sohn

Kyungpook National University, Pusan University of Foreign Studies

Abstract

The purpose of this paper is to study $n$-dimensional $QR$-submanifolds of $(p-1)$ $QR$-dimension in a quaternionic projective space $QP^{(n+p)/4}$ and especially to determine such submanifolds under the curvature conditions appeared in (5.1) and (5.2).

Keywords: quaternionic projective space, $QR$-submanifold, $QR$-dimension, shape operator, locally symmetric

MSC numbers: 53C40, 53C25