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arXiv · 2111.03749

A Minkowski type inequality with free boundary in space forms

Jinyu Guo
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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.

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Jinyu Guo. 2021-11-05. A Minkowski type inequality with free boundary in space forms. https://doi.org/10.1016/j.jmaa.2024.128727

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