Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type
type: Item
instance of: scholarly article
title: Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type
zbMATH Open document ID: 1247.53073
author: Carlos J. G. Machado
author: Juan D. Pérez
author: Imsoon Jeong
author: Young Jin Suh
published in: Central European Journal of Mathematics
publication date: 2012-01-16T00:00:00Z
review text: The authors prove that there does not exist any connected Hopf real hypersurface in complex two-plane Grassmannians \(G_2(\mathbb{C}^{m+ 2})\), \(m\geq 3\), whose normal Jacobi operator is of Codazzi type if the distribution \(D\) or the \(D^\perp\)-component of the Reeb vector field is invariant under the shape operator.
reviewed by: Stefka Hineva
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 5997914
zbMATH Keywords: real hypersurfaces
zbMATH Keywords: complex two-plane Grassmannians
zbMATH Keywords: normal Jacobi operator
zbMATH Keywords: Codazzi type
MaRDI profile type: Publication
full work available at URL: s11533-011-0022-2
OpenAlex ID: W2032070737
cites work: Q4417327
cites work: Real hypersurfaces in complex two-plane Grassmannians
cites work: Real hypersurfaces with isometric Reeb flow in complex two-plane Grassmannians
cites work: Q4913454
cites work: Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
cites work: Real hypersurfaces in quaternionic projective space
DOI: 10.2478/S11533-011-0022-2
description: scientific article; zbMATH DE number 5997914