5 citations · 8 across the 8 of their papers we have counts for
9 papers
Laplacian Algebras and Subcalibrations for Minimal Hypercones
Hongbin Cui
We develop an algebraic mechanism based on Laplacian algebras for constructing minimal hypercones and determining their variational properties. The same closure identities identify…
A family of area-minimizing tensor varieties
Hongbin Cui
By using Lawlor's curvature criterion, we prove that a class of real tensor varieties are regular area-minimizing cones except for one case, which gives a partial generalization of…
Bernstein-type theorem for stationary hypersurfaces of the Euler-Dierkes-Huisken functional
Hongbin Cui, Jiahuan Li, Xiaowei Xu
We say that a hypersurface is -stationary if it is a critical point of the Euler-Dierkes-Huisken functional $\mathcal{E}_α(Σ)=\int_Σ|X|^α\, d\mathcal{…
On FKM isoparametric hypersurfaces in and new area-minimizing cones
Hongbin Cui
We present two generalizations for the celebrated works of Ferus-Karcher-Münzner \cite{FKM81} and Wang \cite{W94}. We first show that an isoparametric foliation on $\mathbb{S}^{2n+…
On Euler-Dierkes-Huisken variational problem
Hongbin Cui, Xiaowei Xu
In this paper, we study the stability and minimizing properties of higher codimensional surfaces in Euclidean space associated with the -weighted area-functional $$\mathcal{E}_f…
On area-minimizing Pfaffian varieties
Hongbin Cui, Xiaoxiang Jiao, Xiaowei Xu
There are two significant families of minimal real matrix varieties: determinantal varieties and skew-symmetric determinantal varieties, the later ones are also known as Pfaffian v…