Ya Tao

collaborators

4 papers

math.DG2026

Minimal Hypersurfaces with constant scalar curvature in $S^{6}$

Ya Tao

In this paper, we propose certain assumptions on the principal curvatures for a closed minimal hypersurface $M^{5}$ in $S^{6}$ to be isoparametric, provided that the functions…

math.DG2026

Rigidity Results for Compact Submanifolds with Pinched Ricci Curvature in Euclidean and Spherical Space Forms

Jianquan Ge, Ya Tao, Yi Zhou

For compact submanifolds in Euclidean and Spherical space forms with Ricci curvature bounded below by a function $I^\pm (n, k, H, c)$ of mean curvature, we prove that the submanifold is e…

math.DG2026

Normal Scalar Curvature Inequality on a Class of Austere Submanifolds

Jianquan Ge, Ya Tao, Yi Zhou

In this paper, we establish new normal scalar curvature inequalities on a class of austere submanifolds by proving sharper DDVV-type inequalities on associated austere subspaces. W…

math.DG2025

Complete hypersurfaces in $R^{n + 1}$ with constant mean and scalar curvature

Jianquan Ge, Ya Tao

In this paper, we investigate the rigidity problems of complete hypersurfaces with constant mean curvature and constant scalar curvature in Euclidean spaces. Firstly, under some co…

Minimal Hypersurfaces with constant scalar curvature in S6

Rigidity Results for Compact Submanifolds with Pinched Ricci Curvature in Euclidean and Spherical Space Forms

Normal Scalar Curvature Inequality on a Class of Austere Submanifolds

Complete hypersurfaces in Rn+1 with constant mean and scalar curvature

Minimal Hypersurfaces with constant scalar curvature in $S^{6}$

Complete hypersurfaces in $R^{n + 1}$ with constant mean and scalar curvature