On biconservative surfaces

DOI10.1016/j.difgeo.2017.08.003zbMath1372.53061arXiv1704.04598OpenAlexW2964014324WikidataQ115355313 ScholiaQ115355313MaRDI QIDQ2403961

Simona Nistor

Publication date: 12 September 2017

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04598

zbMATH Keywords

biharmonic submanifoldsbiconservative surfacesmean curvature vector fieldCodazzi tensor fields

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (5)

Bochner-Simons formulas and the rigidity of biharmonic submanifolds ⋮ Biharmonic and biconservative hypersurfaces in space forms ⋮ Parallel mean curvature biconservative surfaces in complex space forms ⋮ On the uniqueness of complete biconservative surfaces in $\mathbb {R}^3$ ⋮ On biconservative surfaces in 4-dimensional Euclidean space

Cites Work

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• Biconservative surfaces
• Proper biconservative immersions into the Euclidean space
• Complete biconservative surfaces in \(\mathbb{R}^3\) and \(\mathbb{S}^3\)
• Biharmonic surfaces of constant mean curvature
• CMC biconservative surfaces in \(\mathbb S^n\times\mathbb R\) and \(\mathbb H^n\times\mathbb R\)
• Biharmonic hypersurfaces in Riemannian manifolds
• A classification of biconservative hypersurfaces in a pseudo-Euclidean space
• On subharmonic functions and differential geometry in the large
• Tangentially biharmonic Lagrangian \(H\)-umbilical submanifolds in complex space forms
• The stress-energy tensor for biharmonic maps
• Hypersurfaces with constant scalar curvature
• Surfaces of constant mean curvature in manifolds of constant curvature
• Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
• Explicit classification of biconservative surfaces in Lorentz 3-space forms
• On biconservative surfaces in \(3\)-dimensional space forms
• Complete classification of biconservative hypersurfaces with diagonalizable shape operator in the Minkowski 4-space
• Submanifolds with Constant Mean Curvature
• Biconservative surfaces in BCV‐spaces
• Hypersurfaces in E⁴ with Harmonic Mean Curvature Vector Field

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