Biconservative surfaces in the 4-dimensional Euclidean sphere

DOI10.1007/s10231-023-01323-0zbMath1529.53059arXiv2211.08023OpenAlexW4361210181MaRDI QIDQ6046908

Nurettin Cenk Turgay, Cezar Dumitru Oniciuc, Simona Nistor, Rüya Yeǧin Şen

Publication date: 6 September 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.08023

zbMATH Keywords

biconservative surfacesparallel normalized mean curvature vector fieldRiemannian space forms

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Biconservative surfaces
• CMC biconservative surfaces in \(\mathbb S^n\times\mathbb R\) and \(\mathbb H^n\times\mathbb R\)
• On biconservative surfaces in 4-dimensional Euclidean space
• The stress-energy tensor for biharmonic maps
• Biconservative ideal hypersurfaces in Euclidean spaces
• Biconservative submanifolds in \(\mathbb {S}^n\times \mathbb {R}\) and \(\mathbb {H}^n\times \mathbb {R}\)
• Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
• Complete biconservative surfaces in the hyperbolic space \(\mathbb{H}^3\)
• Explicit classification of biconservative surfaces in Lorentz 3-space forms
• On biconservative surfaces in \(3\)-dimensional space forms
• Submanifold theory. Beyond an introduction
• Complete minimal surfaces in \(S^ 3\)
• Reduction of the codimension of an isometric immersion
• Bochner-Simons formulas and the rigidity of biharmonic submanifolds
• Biconservative submanifolds with parallel normalized mean curvature vector field in Euclidean spaces
• Ricci surfaces
• Hypersurfaces in E⁴ with Harmonic Mean Curvature Vector Field
• Totally biharmonic hypersurfaces in space forms and 3-dimensional BCV spaces
• Biharmonic and biconservative hypersurfaces in space forms
• Biharmonic Submanifolds and Biharmonic Maps in Riemannian Geometry

This page was built for publication: Biconservative surfaces in the 4-dimensional Euclidean sphere