6 citations · 9 across the 5 of their papers we have counts for
4 papers · 1 filter
Weighted Hsiung-Minkowski formulas and rigidity of umbilical hypersurfaces
Kwok-Kun Kwong, Hojoo Lee, Juncheol Pyo
We use the weighted Hsiung-Minkowski integral formulas and Brendle's inequality to show new rigidity results. First, we prove Alexandrov type results for closed embedded hypersurfa…
Constant mean curvature surfaces with boundary on a sphere
Rafael López, Juncheol Pyo
In this article we study the shape of a compact surface of constant mean curvature of Euclidean space whose boundary is contained in a round sphere. We consider the case that the b…
Capillary surfaces of constant mean curvature in a right solid cylinder
Rafael López, Juncheol Pyo
In this paper we investigate constant mean curvature surfaces with nonempty boundary in Euclidean space that meet a right cylinder at a constant angle along the boundary. If the su…
Capillary surfaces in a cone
Rafael López, Juncheol Pyo
We show that a capillary surface in a solid cone, that is, a surface that has constant mean curvature and the boundary of surface meets the boundary of the cone with a constant ang…