Area-minimizing regions with small volume in Riemannian manifolds with boundary
For a given domain \(\Omega\) of a Riemannian manifold, the author proves that regions minimizing the area (relative to \(\Omega\)) are nearly the maxima of the mean curvature of \(\partial \Omega\) when their volume tends to zero. He deduces some sharp local relative isoperimetric inequalities involving mean curvature comparisons.
scientific article; zbMATH DE number 5673971