An almost-Schur type lemma for symmetric $(2,0)$ tensors and applications
Differential Geometry
2016-01-20 v1
Abstract
In our previous paper in \cite{C}, we generalized the almost-Schur lemma of De Lellis and Topping for closed manifolds with nonnegative Rcci curvature to any closed manifolds. In this paper, we generalize the above results to symmetric -tensors and give the applications including th mean curvatures of closed hypersurfaces in a space form and scalar curvatures for closed locally conformally flat manifolds.
Keywords
Cite
@article{arxiv.1208.2152,
title = {An almost-Schur type lemma for symmetric $(2,0)$ tensors and applications},
author = {Xu Cheng},
journal= {arXiv preprint arXiv:1208.2152},
year = {2016}
}