Biharmonic submanifolds with parallel mean curvature vector field in spheres
type: Item
instance of: scholarly article
title: Biharmonic submanifolds with parallel mean curvature vector field in spheres
zbMATH Open document ID: 1228.53071
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-11-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/1011.1727
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C43
zbMATH DE Number: 5966288
zbMATH Keywords: biharmonic maps
zbMATH Keywords: biharmonic submanifolds
zbMATH Keywords: minimal submanifolds
zbMATH Keywords: mean curvature
author: A. Balmuş
author: Cezar Oniciuc
MaRDI profile type: Publication
OpenAlex ID: W2964157471
arXiv ID: 1011.1727
cites work: Hypersurfaces with Constant Mean Curvature in Spheres
cites work: On the scalar curvature of constant mean curvature hypersurfaces in space forms
cites work: Biharmonic hypersurfaces in 4-dimensional space forms
cites work: Classification results for biharmonic submanifolds in spheres
cites work: Biharmonic submanifolds in spheres.
cites work: BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
cites work: Q5678153
cites work: Q3322795
cites work: BIHARMONIC PSEUDO-RIEMANNIAN SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACES
cites work: Q4024513
cites work: Q3662316
cites work: Harmonic Mappings of Riemannian Manifolds
cites work: Hypersurfaces in E4 with Harmonic Mean Curvature Vector Field
cites work: Bi-harmonic maps and bi-Yang-Mills fields
cites work: Q3729625
cites work: Q5731354
cites work: Isometric immersions of Riemannian products
cites work: Biharmonic hypersurfaces in a Riemannian manifold with non-positive Ricci curvature
cites work: Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
cites work: Q4677788
cites work: Q4658143
cites work: Hypersurfaces with parallel Ricci tensor
DOI: 10.1016/J.JMAA.2011.08.019
description: scientific article