Real hypersurfaces in nonflat complex space forms are irreducible
type: Item
instance of: scholarly article
title: Real hypersurfaces in nonflat complex space forms are irreducible
zbMATH Open document ID: 1039.53061
author: Sadahiro Maeda
author: Bang-Yen Chen
published in: Osaka Journal of Mathematics
publication date: 2003-01-01T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ojm/1153493040
review text: The authors prove a fundamental general property of real hypersurfaces; namely, there do not exist real hypersurfaces which are Riemannian products of Riemannian manifolds, both in the complex projective spaces and in the complex hyperbolic spaces. It should be recalled that real projective spaces and real hyperbolic spaces admit ample hypersurfaces which are the Riemannian products of some Riemannian manifolds.
reviewed by: Zbigniew Olszak
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 1894630
zbMATH Keywords: complex space form
zbMATH Keywords: real hypersurface
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1894630