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arXiv · 2001.05073

Curvature bounds for regularized riemannian metrics

Daniel Luckhardt·Jan-Bernhard Kordaß
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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 $W^{2,p}$-harmonic radius.

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Daniel Luckhardt, Jan-Bernhard Kordaß. 2020-01-14. Curvature bounds for regularized riemannian metrics. https://arxiv.org/abs/2001.05073

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