Sharp integral bound of scalar curvature on $3$-manifolds
Differential Geometry
2025-05-16 v1
Abstract
It is shown that the integral of the scalar curvature on a geodesic ball of radius in a three-dimensional complete manifold with nonnegative Ricci curvature is bounded above by asymptotically for large provided that the scalar curvature is bounded between two positive constants.
Cite
@article{arxiv.2505.10520,
title = {Sharp integral bound of scalar curvature on $3$-manifolds},
author = {Ovidiu Munteanu and Jiaping Wang},
journal= {arXiv preprint arXiv:2505.10520},
year = {2025}
}
Comments
21 pages