Real minimal hypersurfaces in complex two-plane grassmannians
type: Item
instance of: scholarly article
title: Real minimal hypersurfaces in complex two-plane grassmannians
zbMATH Open document ID: 1240.53055
author: S. H. Choe
author: Young Jin Suh
published in: Acta Mathematica Hungarica
publication date: 2011-12-19T00:00:00Z
review text: The geometry of real hypersurfaces have been intensively studied and obtained some classification of these hypersurfaces. \textit{M. Kimura} [Trans.\ Am.\ Math.\ Soc.\ 296, 137--149 (1986; Zbl 0597.53021)] have obtained a completely classification of real hypersurfaces in the complex projective spaces. \textit{A. Martinez} and \textit{J. D. Perez}, [Ann.\ Mat.\ Pura Appl., IV. Ser.\ 145, 355--384 (1986; Zbl 0615.53012)] has obtained a full classification for the real hypersurfaces in quaternionic projective spaces. In this paper a pinching condition for compact minimal hypersurfaces in complex two-plane Grassmannian \(G_2(C^{m+2})\) with bounded sectional curvature is considered.
reviewed by: Constantin Călin
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 5990601
zbMATH Keywords: minimal hypersurface
zbMATH Keywords: complex two-plane Grassmannian
zbMATH Keywords: sectional curvature
MaRDI profile type: Publication
full work available at URL: s10474-010-0019-5
OpenAlex ID: W2084829010
cites work: Real hypersurfaces in quaternionic space forms.
cites work: Real hypersurfaces in complex two-plane Grassmannians
cites work: Real hypersurfaces with isometric Reeb flow in complex two-plane Grassmannians
cites work: Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
cites work: Real hypersurfaces in quaternionic projective space
cites work: Real Minimal Hypersurfaces in a Complex Projective Space
cites work: On some real hypersurfaces of a complex hyperbolic space
cites work: On Some Real Hypersurfaces of a Complex Projective Space
cites work: Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator
cites work: Real hypersurfaces in complex two-plane Grassmannians with commuting shape operator
cites work: Real hypersurfaces of type \(B\) in complex two-plane Grassmannians
cites work: Q5479795
cites work: On harmonic and Killing vector fields
DOI: 10.1007/S10474-010-0019-5
description: scientific article; zbMATH DE number 5990601