Geometric inequalities for free boundary hypersurfaces in a ball
Yimin Chen, Yingxiang Hu, Haizhong Li
TL;DR
This paper establishes a set of precise geometric inequalities applicable to free boundary hypersurfaces within a ball in space forms, advancing understanding of their geometric properties.
Contribution
It introduces a new family of sharp geometric inequalities specifically for free boundary hypersurfaces in space form balls.
Findings
Proved sharp geometric inequalities for free boundary hypersurfaces.
Extended geometric inequality theory to include free boundary conditions.
Provided new tools for analyzing hypersurfaces in space forms.
Abstract
In this paper, we prove a family of sharp geometric inequalities for free boundary hypersurfaces in a ball in space forms.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Mathematics and Applications · Point processes and geometric inequalities