A Minkowski type inequality with free boundary in space forms
arXiv:2111.03749 · doi:10.1016/j.jmaa.2024.128727
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.
12 pages