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math.DG2021
Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space
Jinyu Guo, Guofang Wang, Chao Xia
In this paper, we study a stability problem of free boundary hypersurfaces, and also capillary ones whose boundary supported on a horosphere in hyperbolic space. We prove that umbi…
math.DG2019
Stability for a second type partitioning problem
Jinyu Guo, Chao Xia
In this paper, we study stability and instability problem for type-II partitioning problem. First, we make a complete classification of stable type-II stationary hypersurfaces in a…