3 papers
math.DG2026
Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity
Xiaoxiang Chai, Yimin Chen, Juncheol Pyo
We define a mass invariant adapted to the spectral scalar curvature for asymptotically hyperbolic 3-manifolds with toroidal infinity and show its positivity under a lower bound on…
math.DG2022
Some rigidity results on compact hypersurfaces with capillary boundary in Hyperbolic space
Yimin Chen, Juncheol Pyo
In this paper, we prove a Heintze-Karcher type inequality for capillary hypersurfaces supported on various hypersurfaces in the hyperbolic space. The equality case only occurs on c…
math.DG2021
Geometric inequalities for free boundary hypersurfaces in a ball
Yimin Chen, Yingxiang Hu, Haizhong Li
In this paper, we prove a family of sharp geometric inequalities for free boundary hypersurfaces in a ball in space forms.