Affine-geometric Wirtinger inequality
Mohammad N. Ivaki
TL;DR
This paper extends the affine-geometric Wirtinger inequality from curves to hypersurfaces, broadening its applicability in geometric analysis.
Contribution
It introduces a generalized inequality for hypersurfaces, expanding the scope of the original curve-based inequality.
Findings
Established a new inequality for hypersurfaces
Extended geometric analysis tools to higher dimensions
Potential applications in affine differential geometry
Abstract
A generalization of the affine-geometric Wirtinger inequality for curves to hypersurfaces is given.
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Taxonomy
TopicsPoint processes and geometric inequalities · Mathematics and Applications · Geometric Analysis and Curvature Flows