Implications of some mass-capacity inequalities
Differential Geometry
2024-05-30 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2307.06428,
title = {Implications of some mass-capacity inequalities},
author = {Pengzi Miao},
journal= {arXiv preprint arXiv:2307.06428},
year = {2024}
}
Comments
improved exposition, 14 pages, 1 figure, to appear in the Journal of Geometric Analysis