5 citations · 9 across the 6 of their papers we have counts for
7 papers
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…
The biharmonic hypersurface flow and the Willmore flow in higher dimensions
Yu Fu, Min-Chun Hong, Gang Tian
The biharmonic flow of hypersurfaces immersed in the Euclidean space for is given by a fourth order geometric evolution equation, which is simil…
Limit theorems for additive functionals of some self-similar Gaussian processes
Minhao Hong, Heguang Liu, Fangjun Xu
Under certain mild conditions, limit theorems for additive functionals of some -dimensional self-similar Gaussian processes are obtained. These limit theorems work for general G…
Derivatives of local times for some Gaussian fields II
Minhao Hong, Fangjun Xu
Given a -Gaussian field \[ Z=\big\{ Z(t,s)= X^{H_1}_t -\tilde{X}^{H_2}_s, s,t \ge 0\big\}, \] where and are independent -dimensional centered…
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…
Derivatives of local times for some Gaussian fields
Minhao Hong, Fangjun Xu
In this article, we consider derivatives of local time for a -Gaussian field \[ Z=\big\{ Z(t,s)= X^{H_1}_t -\widetilde{X}^{H_2}_s, s,t \ge 0\big\}, \] where and $\…
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…