A Minkowski type inequality with free boundary in space forms
Analysis of PDEs
2025-05-07 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2111.03749,
title = {A Minkowski type inequality with free boundary in space forms},
author = {Jinyu Guo},
journal= {arXiv preprint arXiv:2111.03749},
year = {2025}
}
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12 pages