Proper Lk-biharmonic Hypersurfaces in The Euclidean Sphere with Two Principal Curvatures
From MaRDI portal
Publication:5076679
DOI10.22103/jmmrc.2021.15736.1116zbMath1499.53259OpenAlexW3195446461MaRDI QIDQ5076679
Publication date: 17 May 2022
Full work available at URL: https://jmmrc.uk.ac.ir/article_2895_2e22507b06578ffe35eed4537696faec.pdf
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(L_k\)-biharmonic hypersurfaces in the Euclidean space
- Hypersurfaces in space forms satisfying the condition \(L_kx=Ax+b\)
- Biharmonic hypersurfaces in Riemannian manifolds
- On the generalized Chen's conjecture on biharmonic submanifolds
- An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures
- Hypersurfaces with constant scalar curvature
- Stability of hypersurfaces with constant \(r\)-mean curvature
- Variational properties of functions of the mean curvatures for hypersurfaces in space forms
- Biharmonic submanifolds in a Riemannian manifold with non-positive curvature
- Biharmonic ideal hypersurfaces in Euclidean spaces
- Biharmonic properly immersed submanifolds in Euclidean spaces
- \(fL_k\)-harmonic maps and \(fL_k\)-harmonic morphisms
- Biharmonic hypersurfaces in complete Riemannian manifolds
- \(L_k\)-biharmonic hypersurfaces in space forms
- New results toward the classification of Biharmonic submanifolds in $\mathbb{S}^{n}$
- Classification results and new examples of proper biharmonic submanifolds in spheres
- 2-harmonic maps and their first and second variational formulas
- Hypersurfaces of E4 with Harmonic Mean Curvature Vector
- BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
- Hypersurfaces in E4 with Harmonic Mean Curvature Vector Field
- Harmonic Mappings of Riemannian Manifolds
- L K -BIHARMONIC HYPERSURFACES IN SPACE FORMS WITH THREE DISTINCT PRINCIPAL CURVATURES
