Hongbin Cui

collaborators

3 papers

math.DG2026

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…

math.DG2026

Bernstein-type theorem for stationary hypersurfaces of the Euler-Dierkes-Huisken functional

Hongbin Cui, Jiahuan Li, Xiaowei Xu

We say that a hypersurface $I^£ \subset R^{n + 1}$ is $I^\pm$ -stationary if it is a critical point of the Euler-Dierkes-Huisken functional $\mathcal{E}_Î±(Î£)=\int_Î£|X|^Î±\, d\ma…

math.DG2026

On FKM isoparametric hypersurfaces in $S^{n} \times S^{n}$ and new area-minimizing cones

Hongbin Cui

We present two generalizations for the celebrated works of Ferus-Karcher-MÃ¼nzner \cite{FKM81} and Wang \cite{W94}. We first show that an isoparametric foliation on $\mathbb{S}^{2n…

A family of area-minimizing tensor varieties

Bernstein-type theorem for stationary hypersurfaces of the Euler-Dierkes-Huisken functional

On FKM isoparametric hypersurfaces in Sn×Sn and new area-minimizing cones

On FKM isoparametric hypersurfaces in $S^{n} \times S^{n}$ and new area-minimizing cones