Closed biconservative hypersurfaces in spheres

DOI10.1016/j.jmaa.2022.126697OpenAlexW4295921261MaRDI QIDQ2084892

Álvaro Pámpano, Cezar Dumitru Oniciuc, Stefano Montaldo

Publication date: 13 October 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11169

zbMATH Keywords

rotational hypersurfacesclosed hypersurfacesbiconservative hypersurfaces\(p\)-elastic curves

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (3)

Instability of closed p-elastic curves in 𝕊2 ⋮ Closed 1/2-elasticae in the hyperbolic plane ⋮ Closed 1/2-elasticae in the 2-sphere

Cites Work

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• Proper biconservative immersions into the Euclidean space
• Biharmonic PNMC submanifolds in spheres
• Biharmonic hypersurfaces in Riemannian manifolds
• Embedded constant mean curvature hypersurfaces on spheres
• The total squared curvature of closed curves
• The stress-energy tensor for biharmonic maps
• Closed generalized elastic curves in \({\mathbf S}^{2}\)(1).
• Closed free hyperelastic curves in the hyperbolic plane and Chen-Willmore rotational hyper\-surfaces
• Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
• Embedded constant mean curvature tori in the three-sphere
• Explicit classification of biconservative surfaces in Lorentz 3-space forms
• Homogeneity and some curvature conditions for hypersurfaces
• Hypersurfaces with parallel Ricci tensor
• Bochner-Simons formulas and the rigidity of biharmonic submanifolds
• BIMINIMAL IMMERSIONS
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Characteristic roots and vectors of a diifferentiable family of symmetric matrices^†
• Hypersurfaces in E⁴ with Harmonic Mean Curvature Vector Field
• On the uniqueness of complete biconservative surfaces in 3-dimensional space forms
• Delaunay surfaces in S3(ρ)
• Biharmonic and biconservative hypersurfaces in space forms
• Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures
• Harmonic Mappings of Riemannian Manifolds

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