Huixin Tan

collaborators

4 papers

math.DG2026

Chern's Conjecture with Constant Cubic Trace

Huixin Tan, Zizhou Tang, Yuquan Xie +1

We prove that the values set of $S=|A|^2$ attained by closed embedded minimal hypersurfaces in $\mathbb S^{n+1}(1)$ with constant $S$ and constant \(f_3=\operatorname{tr}(A^3…

math.DG2026

Isoparametric hypersurfaces in $S^{n} \times S^{m}$ and $S^{n} \times H^{m}$

Huixin Tan, Yuquan Xie, Wenjiao Yan

We prove that the angle function associated with the canonical product structure is constant for an isoparametric hypersurface in $S^{n} \times S^{m}$ , $\mathbb{S}…

math.DG2025

Chern Conjecture on Minimal Willmore Hypersurfaces with Constant Scalar Curvature

Jianquan Ge, Huixin Tan, Wenjiao Yan +1

In this paper, we prove that for an $n$ -dimensional closed minimal Willmore hypersurface $M^{n}$ with constant scalar curvature in the unit sphere $S^{n + 1}$ , the squared nor…

math.DG2025

Isoparametric hypersurfaces in $S^{n} \times R^{m}$ and $H^{n} \times R^{m}$

Huixin Tan, Yuquan Xie, Wenjiao Yan

We first show that every isoparametric hypersurface in $S^{n} \times R^{m}$ or $H^{n} \times R^{m}$ possesses a constant angle function with respe…

Chern's Conjecture with Constant Cubic Trace

Isoparametric hypersurfaces in Sn×Sm and Sn×Hm

Chern Conjecture on Minimal Willmore Hypersurfaces with Constant Scalar Curvature

Isoparametric hypersurfaces in Sn×Rm and Hn×Rm

Isoparametric hypersurfaces in $S^{n} \times S^{m}$ and $S^{n} \times H^{m}$

Isoparametric hypersurfaces in $S^{n} \times R^{m}$ and $H^{n} \times R^{m}$