53 citations · 332 across the 44 of their papers we have counts for
46 papers
Ricci-pinched 3-Manifolds with second-fundamental-form-pinched Boundary
Chao Xia, Jincong Zheng
We prove a boundary analogue of the rigidity theorem for Ricci-pinched three-manifolds under a superquadratic volume-growth assumption. More precisely, we show that a complete conn…
Alexandrov-Type Rigidity for Minimal Capillary Hypersurfaces on Rotational Supports
Caiyan Li, Chao Xia
In this paper, we prove that, under suitable conditions on the generating profile, every connected, compact embedded minimal capillary hypersurface supported on a one-ended rotatio…
Stable constant weighted mean curvature hypersurfaces in anti-Gaussian space
Jinchuan Bai, Chao Xia
We prove that in the anti-Gaussian space $\bigl(\R^{m+1},\bar g_{\Euc},e^{|x|^2/4}\,dx\bigr)$, , round spheres centered at the origin are the only closed, connected, two-sid…
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…
Mass--Capacity Inequalities in Asymptotically Flat Half-Spaces
Chao Xia, Jiabin Yin, Xingjian Zhou
In this paper, we establish general monotone quantities and sharp mass-capacity inequalities related to -capacitary functions in -dimensional asymptotically flat half-spaces…
New monotonicity for -capacitary functions in -manifolds with nonnegative scalar curvature
Chao Xia, Jiabin Yin, Xingjian Zhou
In this paper, we derive general monotone quantities and geometric inequalities associated with -capacitary functions in asymptotically flat -manifolds with simple topology a…