The type number of real hypersurfaces in \(P_n(\mathbb{C})\)
type: Item
instance of: scholarly article
title: The type number of real hypersurfaces in \(P_n(\mathbb{C})\)
zbMATH Open document ID: 0906.53036
author: Hyang Sook Kim
author: Ryoichi Takagi
published in: Tsukuba Journal of Mathematics
publication date: 1999-02-16T00:00:00Z
review text: It is proved that on a complete real hypersurface in complex projective \(n\)-space \(P_n (\mathbb{C})\) there exists a point \(p\) where the type number \(t(p)\) is greater than or equal to \(n\). The theorem generalizes former results in this direction, for instance, the result due to \textit{Y. J. Suh} [ibid. 15, 99-104 (1991; Zbl 0736.32016)], saying that under the assumptions of the above theorem and with \(n\geq 3\), there exists a point \(p\) such that \(t(p)\geq 3\).
reviewed by: Barbara Opozda
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 32V40
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1102947
zbMATH Keywords: complex projective \(n\)-space
zbMATH Keywords: real hypersurface
zbMATH Keywords: type number
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496163085
OpenAlex ID: W1573055213
DOI: 10.21099/TKBJM/1496163085
description: scientific article; zbMATH DE number 1102947