Scalar curvature lower bound under integral convergence
Differential Geometry
2022-09-28 v2
Abstract
In this work, we consider sequences of metrics which converge to a metric in sense. We show that if the scalar curvature of the sequence is almost non-negative in the integral sense, then the limiting metric has scalar curvature lower bound in point-wise sense.
Keywords
Cite
@article{arxiv.2111.05079,
title = {Scalar curvature lower bound under integral convergence},
author = {Yiqi Huang and Man-Chun Lee},
journal= {arXiv preprint arXiv:2111.05079},
year = {2022}
}
Comments
final version, 11 pages, minor mistakes corrected