Jinchuan Bai

collaborators

3 papers

math.DG2026

Stable constant weighted mean curvature hypersurfaces in anti-Gaussian space

Jinchuan Bai, Chao Xia

We prove that in the anti-Gaussian space $\bigl(\R^{m+1},\bar g_{\Euc},e^{|x|^2/4}\,dx\bigr)$, $m \geq 2$ , round spheres centered at the origin are the only closed, connected, two-sid…

math.DG2026

An Alexandrov-type theorem in warped product manifolds with radial density

Jinchuan Bai, Chao Xia

In this paper, we establish a Heintze--Karcher inequality for closed embedded hypersurfaces in a class of warped product manifolds endowed with radial density. As a consequence, we…

math.DG2022

On complete hypersurfaces with constant scalar curvature $n (n - 1)$ in the unit sphere

Jinchuan Bai, Yong Luo

Let $M^{n}$ be an $n$ -dimensional complete and locally conformally flat hypersurface in the unit sphere $S^{n + 1}$ with constant scalar curvature $n (n - 1)$ . We show that if th…

Stable constant weighted mean curvature hypersurfaces in anti-Gaussian space

An Alexandrov-type theorem in warped product manifolds with radial density

On complete hypersurfaces with constant scalar curvature n(n−1) in the unit sphere

On complete hypersurfaces with constant scalar curvature $n (n - 1)$ in the unit sphere