Biharmonic hypersurfaces in Riemannian symmetric spaces. II
type: Item
instance of: scholarly article
title: Biharmonic hypersurfaces in Riemannian symmetric spaces. II
zbMATH Open document ID: 1394.58005
author: Jun-ichi Inoguchi
author: Toru Sasahara
published in: Hiroshima Mathematical Journal
publication date: 2018-02-08T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.hmj/1509674451
review text: This is the second part of the authors' work [ibid. 46, No. 1, 97--121 (2016; Zbl 1350.58005)]. In this part, the authors give further construction of biharmonic hypersurfaces in Riemannian symmetric spaces including real, complex, and quaternion Grassmannian manifolds. Here, a key ingredient is that the symmetric space is an Einstein manifold in which the equation for biharmonic hypersurfaces has simplest form [\textit{Y.-L. Ou}, Pac. J. Math. 248, No. 1, 217--232 (2010; Zbl 1205.53066)]: \(|A|^2=1/2\). The hypersurfaces studied in the paper included those defined by the tubes around some totally geodesic submanifolds and some geodesic spheres of certain radii.
reviewed by: Ye-Lin Ou
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 6836010
zbMATH Keywords: biharmonic hypersurfaces
zbMATH Keywords: Riemannian symmetric spaces of type AI
zbMATH Keywords: Riemannian symmetric spaces of type AII
zbMATH Keywords: Riemannian symmetric spaces of type DIII
zbMATH Keywords: Riemannian symmetric spaces of type CI
zbMATH Keywords: Riemannian symmetric spaces of type EII
zbMATH Keywords: Riemannian symmetric spaces of type EIII
zbMATH Keywords: Riemannian symmetric spaces of type EIV
MaRDI profile type: Publication
OpenAlex ID: W4245056745
Wikidata QID: Q115222330
DOI: 10.32917/HMJ/1509674451
description: scientific article; zbMATH DE number 6836010