Intrinsic characterizations of biconservative surfaces in the four-dimensional hyperbolic space

DOI10.1007/s00009-024-02767-1MaRDI QIDQ6670486

Simona Nistor, Mihaela Rusu

Publication date: 23 January 2025

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

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

• Title not available (Why is that?)
• Biconservative surfaces
• On biconservative surfaces in 4-dimensional Euclidean space
• The stress-energy tensor for biharmonic maps
• Sulla teoria intrinseca delle superficie ed in ispecie di quelle di \(2^\circ\) grado.
• Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
• Complete minimal surfaces in \(S^ 3\)
• Reduction of the codimension of an isometric immersion
• Bochner-Simons formulas and the rigidity of biharmonic submanifolds
• Ricci surfaces
• Hypersurfaces in E⁴ with Harmonic Mean Curvature Vector Field
• Biharmonic and biconservative hypersurfaces in space forms
• Biharmonic Submanifolds and Biharmonic Maps in Riemannian Geometry
• Biconservative surfaces in the 4-dimensional Euclidean sphere

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