On triharmonic hypersurfaces in space forms (Q6113289)
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scientific article; zbMATH DE number 7709786
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On triharmonic hypersurfaces in space forms |
scientific article; zbMATH DE number 7709786 |
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On triharmonic hypersurfaces in space forms (English)
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10 July 2023
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The authors prove that a triharmonic hypersurface of constant mean curvature (THCMC) (embedded in the hyperbolic space) is minimal. If a THCMC is embedded in the sphere, then they state that it is either minimal or it has a constant scalar curvature. They provide a sufficient condition for a THCMC (embedded in the Euclidean space) to be minimal.
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harmonic maps
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triharmonic hypersurfaces
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constant mean curvature
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constant scalar curvature
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