Abstract
Non-spherical hypersurfaces inE 4 with non-zero constant mean curvature and constant scalar curvature are the only hypersurfaces possessing the following property: Its position vector can be written as a sum of two non-constant maps, which are eigenmaps of the Laplacian operator with corresponding eigenvalues the zero and a non-zero constant.
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Hasanis, T., Vlachos, T. Hypersurfaces with constant scalar curvature and constant mean curvature. Ann Glob Anal Geom 13, 69–77 (1995). https://doi.org/10.1007/BF00774569
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DOI: https://doi.org/10.1007/BF00774569