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

2026/08/02 by Jihye Lee, Guofang Wei
Mathematics · #math.DG #msc:53A07 #msc:53C21 #msc:53C23

paper · pdf

23 pages

arxiv created 2026/08/02 · arxiv updated 2026/08/04

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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