2 papers
math.DG2024
Gap results for biharmonic submanifolds in spheres
Stefan Andronic, Simona Nistor
In this paper we determine a larger gap of the mean curvature for a class of proper biharmonic submanifolds with parallel mean curvature vector field in Euclidean spheres. When the…
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…