Biminimal hypersurfaces in a sphere. (English) Zbl 1226.53056
Summary: We mainly concentrate on the biminimal hypersurfaces in a sphere. First, we obtain some rigidity theorems for biminimal hypersurfaces. Then, we give a classification of non-minimal biminimal isoparametric hypersurfaces in a sphere.
MSC:
| 53C42 | Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) |
| 53C24 | Rigidity results |
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