A Minkowski type inequality with free boundary in space forms

Authors :: Guo, Jinyu
Publication Year :: 2021
Abstract: In this paper, we consider a Minkowski inequality for a domain supported on any umbilical hypersurface with free boundary in space forms. We generalize the main result in \cite{Xia} into free boundary case and obtain a free boundary version of optimal weighted Minkowski inequality in space forms.<br />Comment: 12 pages