Real $n$-dimensional $QR$-submanifolds of maximal $QR$-dimension immersed in $QP^{(n+p)/4}$

Hyang Sook Kim; Jung-Hwan Kwon; Jin Suk Pak

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Commun. Korean Math. Soc. 2009; 24(1): 111-125

Printed March 1, 2009

Real $n$-dimensional $QR$-submanifolds of maximal $QR$-dimension immersed in $QP^{(n+p)/4}$

Hyang Sook Kim, Jung-Hwan Kwon, and Jin Suk Pak

Inje University, Daegu University, and Kyungpook National University

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Abstract

The purpose of this paper is to study $n$-dimensional $QR$-submanifolds of $(p-1)$ $QR$-dimension immersed in a quaternionic projective space $QP^{(n+p)/4}$ of constant $Q$-sectional curvature $4$ and especially to determine such submanifolds under the additional condition concerning with shape operator.

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

Communications of the
Korean Mathematical Society CKMS

Article

Real $n$-dimensional $QR$-submanifolds of maximal $QR$-dimension immersed in $QP^{(n+p)/4}$

Abstract

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Article

Real $n$-dimensional $QR$-submanifolds of maximal $QR$-dimension immersed in $QP^{(n+p)/4}$

Abstract

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS

Generalized golden shaped hypersurfaces in Lorentz space forms

$(n+1)$-dimensional contact $CR$-submanifolds of $(n-1)$ contact $CR$-dimension in a Sasakian space form

On Some Semi-invariant submanifolds of codimension 3 in a complex Projective Space

Communications of the
Korean Mathematical Society CKMS