On biconservative surfaces
type: Item
instance of: scholarly article
title: On biconservative surfaces
zbMATH Open document ID: 1372.53061
author: Simona Nistor
published in: Differential Geometry and its Applications
publication date: 2017-09-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1704.04598
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 6774043
zbMATH Keywords: biconservative surfaces
zbMATH Keywords: biharmonic submanifolds
zbMATH Keywords: mean curvature vector field
zbMATH Keywords: Codazzi tensor fields
MaRDI profile type: Publication
OpenAlex ID: W2964014324
arXiv ID: 1704.04598
Wikidata QID: Q115355313
cites work: Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
cites work: Q3322795
cites work: Hypersurfaces with constant scalar curvature
cites work: On biconservative surfaces in \(3\)-dimensional space forms
cites work: CMC biconservative surfaces in \(\mathbb S^n\times\mathbb R\) and \(\mathbb H^n\times\mathbb R\)
cites work: Explicit classification of biconservative surfaces in Lorentz 3-space forms
cites work: Complete classification of biconservative hypersurfaces with diagonalizable shape operator in the Minkowski 4-space
cites work: Hypersurfaces in E4 with Harmonic Mean Curvature Vector Field
cites work: Surfaces of constant mean curvature in manifolds of constant curvature
cites work: On subharmonic functions and differential geometry in the large
cites work: Q3764911
cites work: Q3768043
cites work: The stress-energy tensor for biharmonic maps
cites work: Biharmonic surfaces of constant mean curvature
cites work: Proper biconservative immersions into the Euclidean space
cites work: Biconservative surfaces
cites work: Biconservative surfaces in BCV‐spaces
cites work: Complete biconservative surfaces in \(\mathbb{R}^3\) and \(\mathbb{S}^3\)
cites work: Q4658143
cites work: Biharmonic hypersurfaces in Riemannian manifolds
cites work: Tangentially biharmonic Lagrangian \(H\)-umbilical submanifolds in complex space forms
cites work: A classification of biconservative hypersurfaces in a pseudo-Euclidean space
cites work: Submanifolds with Constant Mean Curvature
DOI: 10.1016/J.DIFGEO.2017.08.003
Recommended article: Biconservative surfaces
Recommended article: Biconservative surfaces in BCV‐spaces
Recommended article: On biconservative surfaces in \(3\)-dimensional space forms
Recommended article: On biconservative surfaces in 4-dimensional Euclidean space
Recommended article: Biharmonic curves on an invariant surface
Recommended article: On the existence of closed biconservative surfaces in space forms
Recommended article: On bi-Hermitian surfaces
Recommended article: Bisingular maps on some surfaces
Recommended article: Biconservative surfaces in the 4-dimensional Euclidean sphere
Recommended article: On a Class of Surfaces
description: scientific article