39 citations · 41 across the 5 of their papers we have counts for
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On biharmonic hypersurfaces with constant scalar curvatures in
Yu Fu
We prove that proper biharmonic hypersurfaces with constant scalar curvature in Euclidean sphere must have constant mean curvature. Moreover, we also show that there…
(3)-ideal null 2-type hypersurfaces in Euclidean spaces
Bang-Yen Chen, Yu Fu
In the theory of finite type submanifolds, null 2-type submanifolds are the most simple ones, besides 1-type submanifolds (cf. e.g., [3, 12]). In particular, the classification pro…
Biharmonic hypersurfaces with three distinct principal curvatures in spheres
Yu Fu
We obtain a complete classification of proper biharmonic hypersurfaces with at most three distinct principal curvatures in sphere spaces with arbitrary dimension. Precisely, togeth…
Biharmonic hypersurfaces with three distinct principal curvatures in Euclidean space
Yu Fu
The well known Chen's conjecture on biharmonic submanifolds states that a biharmonic submanifold in a Euclidean space is a minimal one ([10-13, 16, 18-21, 8]). For the case of hype…