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arXiv · 1208.2152

An almost-Schur type lemma for symmetric $(2,0)$ tensors and applications

Xu Cheng
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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 $(2,0)$-tensors and give the applications including $r$th mean curvatures of closed hypersurfaces in a space form and $k$ scalar curvatures for closed locally conformally flat manifolds.

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Xu Cheng. 2012-08-10. An almost-Schur type lemma for symmetric $(2,0)$ tensors and applications. https://doi.org/10.2140/pjm.2014.267.325

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