On real hypersurfaces of a complex projective space. II
type: Item
instance of: scholarly article
title: On real hypersurfaces of a complex projective space. II
zbMATH Open document ID: 0762.53039
author: Makoto Kimura
author: Sadahiro Maeda
published in: Tsukuba Journal of Mathematics
publication date: 1992-09-27T00:00:00Z
review text: [Part I, see Math. Z. 202, No. 3, 299-311 (1989; Zbl 0661.53015).] It is well-known that there exist no real hypersurfaces \(M\) with parallel second fundamental form \(A\) in a complex projective space. The main purpose of this paper is to classify real hypersurfaces \(M\) satisfying \(\nabla_ \xi A=0\) (that is, \(A\) is parallel in the direction of the characteristic vector field \(\xi\) of \(M\)) in \(P_ n(\mathbb{C})\). The authors emphasize that there exist many non-homogeneous real hypersurfaces satisfying \(\nabla_ \xi A=0\) in \(P_ n(\mathbb{C})\).
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 61134
zbMATH Keywords: parallel second fundamental form
zbMATH Keywords: non-homogeneous real hypersurfaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496161675
OpenAlex ID: W599460518
DOI: 10.21099/TKBJM/1496161675
description: scientific article; zbMATH DE number 61134