39 citations · 56 across the 18 of their papers we have counts for
12 papers · 1 filter
Biharmonic Lagrangian surfaces with constant Gaussian curvature in -dimensional complex space forms
Yu Fu, Yanru Luo, Cezar Oniciuc
Constant curvature is one of the most fundamental intrinsic conditions in submanifold geometry. Investigating the existence and classification of biharmonic submanifolds under intr…
Biharmonic hypersurfaces in space forms
Yu Fu, Min-Chun Hong, Dan Yang
We prove that every biharmonic hypersurface in a space form of nonpositive sectional curvature is minimal in arbitrary dimension. This settles the hypersurface case of the generali…
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…
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…
Biconservative hypersurfaces with constant scalar curvature in space forms
Yu Fu, Min-Chun Hong, Dan Yang +1
Biconservative hypersurfaces are hypersurfaces which have conservative stress-energy tensor with respect to the bienergy, containing all minimal and constant mean curvature hypersu…
On Chen's biharmonic conjecture for hypersurfaces in
Yu Fu, Min-Chun Hong, Xin Zhan
A longstanding conjecture on biharmonic submanifolds, proposed by Chen in 1991, is that {\it any biharmonic submanifold in a Euclidean space is minimal}. In the case of a hypersurf…
Biharmonic hypersurfaces in a product space
Yu Fu, Shun Maeta, Ye-Lin Ou
In this paper, we study biharmonic hypersurfaces in a product of an Einstein space and a real line. We prove that a biharmonic hypersurface with constant mean curvature in such a p…
Biharmonic hypersurfaces with constant scalar curvature in space forms
Yu Fu, Min-Chun Hong
Let be a biharmonic hypersurface with constant scalar curvature in a space form . We show that has constant mean curvature if and is min…
Complete classification of biconservative hypersurfaces with diagonalizable shape operator in Minkowski 4-space
Yu Fu, Nurettin Cenk Turgay
In this paper, we study biconservative hypersurfaces in the four dimensional Minkowski space . We give the complete explicit classification of biconservative hypersu…
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…
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…