Implications of some mass-capacity inequalities
arXiv:2307.06428 · doi:10.1007/s12220-024-01686-7
Abstract
Applying a family of mass-capacity related inequalities proved in \cite{M22}, we obtain sufficient conditions that imply the nonnegativity as well as positive lower bounds of the mass, on a class of manifolds with nonnegative scalar curvature, with or without a singularity.
improved exposition, 14 pages, 1 figure, to appear in the Journal of Geometric Analysis