39 citations · 56 across the 18 of their papers we have counts for
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math.DG2014★ 1 cited
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…
math.DG2014
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…
math.DG2014★ 39 cited
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…