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math.DG2023
On triharmonic hypersurfaces in space forms
Yu Fu, Dan Yang
In this paper we study triharmonic hypersurfaces immersed in a space form . We prove that any proper CMC triharmonic hypersurface in the sphere has co…
math.DG2023
On the biharmonic hypersurfaces with three distinct principal curvatures in space forms
Ştefan Andronic, Yu Fu, Cezar Oniciuc
In [16] there was proved that any biharmonic hypersurface with at most three distinct principal curvatures in space forms has constant mean curvature. At the very last step of the…