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arXiv · 2608.01171

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature

Jihye Lee·Guofang Wei
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Abstract

We establish a Fenchel-Willmore-Chen inequality for smooth metric measure spaces with a lower bound on the 1-Bakry-Emery k-Ricci curvature. This extends previous results and yields a unified proof. In addition, a Sobolev and isoperimetric inequality for nonnegative 1-weighted Ricci curvature is proven.

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Jihye Lee, Guofang Wei. 2026-08-02. Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature. https://arxiv.org/abs/2608.01171

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