On an inequality of Andrews, De Lellis and Topping
Differential Geometry
2013-03-05 v2
Abstract
Using the method of De Lellis-Topping, we prove some almost Schur type results. For example, one of our results gives a quantitative measure of how close the higher mean curvature of a submanifold is to its average value. We also derive another sharp Andrews-De Lellis-Topping type inequality involving the Riemannian curvature tensor and discuss its equality case.
Cite
@article{arxiv.1209.4192,
title = {On an inequality of Andrews, De Lellis and Topping},
author = {Kwok-Kun Kwong},
journal= {arXiv preprint arXiv:1209.4192},
year = {2013}
}
Comments
15 pages. Minor typos corrected and references updated. To appear in Journal of Geometric Analysis