On biharmonic hypersurfaces in 6-dimensional space forms
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DOI: 10.1007/s13370-019-00714-y
Abstract: We study biharmonic hypersurfaces in the space forms $$\overline{M}^{6}(c)$$ with at most four distinct principal curvatures and whose second fundamental form is of constant norm. We prove that every such biharmonic hypersurface in $$\overline{M}^{6}(c)$$ has… read more here.
Keywords: space; biharmonic hypersurface; every biharmonic; biharmonic hypersurfaces ... See more keywords
Totally biharmonic hypersurfaces in space forms and 3-dimensional BCV spaces
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DOI: 10.1142/s0129167x21500257
Abstract: A hypersurface is said to be totally biharmonic if all its geodesics are biharmonic curves in the ambient space. We prove that a totally biharmonic hypersurface into a space form is an isoparametric biharmonic hypersurface,… read more here.
Keywords: hypersurfaces space; space forms; totally biharmonic; biharmonic hypersurfaces ... See more keywords