On minimality and scalar curvature of CMC triharmonic hypersurfaces in pseudo-Riemannian space forms
DOI10.1007/S10231-023-01422-YMaRDI QIDQ6594154
Publication date: 28 August 2024
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
constant mean curvaturehypersurfacespseudo-Riemannian space formsdiagonalizable shape operatortriharmonic maps
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric aspects of harmonic maps (53C43)
Cites Work
- Title not available (Why is that?)
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- Liouville-type theorems on complete manifolds and non-existence of bi-harmonic maps
- Remarks on the nonexistence of biharmonic maps
- Classification results for biharmonic submanifolds in spheres
- The second variational formula of the \(k\)-energy and \(k\)-harmonic curves
- On Chen's biharmonic conjecture for hypersurfaces in \(\mathbb{R}^5\)
- Harmonic maps from surfaces of arbitrary genus into spheres
- Triharmonic CMC hypersurfaces in space forms with at most \(3\) distinct principal curvatures
- Polyharmonic hypersurfaces into space forms
- Higher order energy functionals
- Four dimensional biharmonic hypersurfaces in nonzero space forms have constant mean curvature
- Biharmonic maps into a Riemannian manifold of non-positive curvature
- A nonexistence theorem for proper biharmonic maps into general Riemannian manifolds
- Biharmonic submanifolds with parallel normalized mean curvature vector field in pseudo-Riemannian space forms
- Minimality on biharmonic space-like submanifolds in pseudo-Riemannian space forms
- Classification of proper biharmonic hypersurfaces in pseudo-Riemannian space forms
- Local rigidity theorems for minimal hypersurfaces
- Minimal varieties in Riemannian manifolds
- Polyharmonic hypersurfaces into pseudo-Riemannian space forms
- Total Mean Curvature and Submanifolds of Finite Type
- Liouville-type theorems for biharmonic maps between Riemannian manifolds
- BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
- Biharmonic Submanifolds and Biharmonic Maps in Riemannian Geometry
- $k$-harmonic maps into a Riemannian manifold with constant sectional curvature
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
- Harmonic Mappings of Riemannian Manifolds
- Triharmonic CMC hypersurfaces in \({\mathbb{R}}^5(c)\)
- Triharmonic hypersurfaces with constant mean curvature in pseudo-Riemannian space forms
- On triharmonic hypersurfaces in space forms
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