Curvature bounds for regularized riemannian metrics
Differential Geometry
2020-03-30 v2
Abstract
We investigate regularization of riemannian metrics by mollification. Assuming both-sided bounds on the Ricci tensor and a lower injectivity radius bound we obtain a uniform estimate on the change of the sectional curvature. Actually, our result holds for any metric with a uniform bound on the -harmonic radius.
Cite
@article{arxiv.2001.05073,
title = {Curvature bounds for regularized riemannian metrics},
author = {Daniel Luckhardt and Jan-Bernhard Kordaß},
journal= {arXiv preprint arXiv:2001.05073},
year = {2020}
}