Parallel submanifolds in a quaternion projective space
type: Item
instance of: scholarly article
title: Parallel submanifolds in a quaternion projective space
zbMATH Open document ID: 0574.53036
author: K. Tsukada
published in: Osaka Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The purpose of the paper is to classify submanifolds with parallel second fundamental form in a quaternion projective space and its non-compact dual space. In order to do so, the author performs a systematic study of three kinds of immersions of a Riemannian manifold into a quaternion Kaehler manifold: totally real, totally complex and invariant immersions. He studies in detail totally complex immersions and produces models of totally complex parallel immersions of Hermitian symmetric spaces in a quaternion projective space.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 3917180
zbMATH Keywords: parallel second fundamental form
zbMATH Keywords: quaternion projective space
zbMATH Keywords: quaternion Kaehler manifold
zbMATH Keywords: totally complex immersions
reviewed by: Aurel Bejancu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3917180