Triharmonic CMC hypersurfaces in space forms with at most \(3\) distinct principal curvatures
From MaRDI portal
Publication:2152601
DOI10.1007/s00025-022-01698-1OpenAlexW3152496016MaRDI QIDQ2152601
Publication date: 8 July 2022
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.09287
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)
Related Items (5)
Triharmonic CMC hypersurfaces in \({\mathbb{R}}^5(c)\) ⋮ On the normal stability of triharmonic hypersurfaces in space forms ⋮ Triharmonic hypersurfaces with constant mean curvature in pseudo-Riemannian space forms ⋮ On triharmonic hypersurfaces in space forms ⋮ A classification of triharmonic hypersurfaces in a pseudo-Riemannian space form
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On cohomogeneity one biharmonic hypersurfaces into the Euclidean space
- Biharmonic integral \(\mathcal{C}\)-parallel submanifolds in 7-dimensional Sasakian space forms
- Triharmonic isometric immersions into a manifold of non-positively constant curvature
- Biharmonic hypersurfaces in a Riemannian manifold with non-positive Ricci curvature
- Biharmonic submanifolds with parallel mean curvature vector field in spheres
- Unique continuation property for biharmonic hypersurfaces in spheres
- \(p\)-harmonic maps and minimal submanifolds
- A closed hypersurface with constant scalar and mean curvatures in \(\mathbb{S}^ 4\) is isoparametric
- A rigidity theorem for submanifolds with parallel mean curvature in a sphere
- On closed hypersurfaces of constant scalar curvatures and mean curvatures in \(S^{n+1}\)
- New examples of \(r\)-harmonic immersions into the sphere
- Proper \(r\)-harmonic submanifolds into ellipsoids and rotation hypersurfaces
- Biharmonic submanifolds in a Riemannian manifold with non-positive curvature
- Proper biharmonic submanifolds in a sphere
- The second variational formula of the \(k\)-energy and \(k\)-harmonic curves
- On Chen's biharmonic conjecture for hypersurfaces in \(\mathbb{R}^5\)
- Four dimensional biharmonic hypersurfaces in nonzero space forms have constant mean curvature
- Biharmonic maps into a Riemannian manifold of non-positive curvature
- \(p\)-harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps
- Familles de surfaces isoparametriques dans les espaces à courbure constante
- Biharmonic hypersurfaces in 4-dimensional space forms
- Liouville-type theorems for biharmonic maps between Riemannian manifolds
- Hypersurfaces with Constant Mean Curvature in Spheres
- Characteristic roots and vectors of a diifferentiable family of symmetric matrices†
- Polyharmonic maps into the Euclidean space
- Biharmonic and biconservative hypersurfaces in space forms
- Polyharmonic maps of order 𝑘 with finite 𝐿^{𝑝} k-energy into Euclidean spaces
- Biharmonic Submanifolds and Biharmonic Maps in Riemannian Geometry
- $k$-harmonic maps into a Riemannian manifold with constant sectional curvature
- Harmonic Mappings of Riemannian Manifolds
This page was built for publication: Triharmonic CMC hypersurfaces in space forms with at most \(3\) distinct principal curvatures