Yu-Quan Xie

activity

20232026

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

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…

math.GM2023

Slant helices and Darboux helices in Myller Configuration

Akın Alkan, Mehmet Önder

In this paper, we study slant helix (or $ξ__{2}$ -helix) and Darboux helix in Myller configuration $M$ . We show that a curve in $M$ is a slant helix if and only if it is…

Chern's Conjecture with Constant Cubic Trace

Isoparametric hypersurfaces in Sn×Sm and Sn×Hm

Isoparametric hypersurfaces in Sn×Rm and Hn×Rm

Slant helices and Darboux helices in Myller Configuration

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

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