AN ALMOST-SCHUR TYPE LEMMA FOR SYMMETRIC (2,0) TENSORS AND APPLICATIONS

被引：9

作者：

Cheng, Xu ^{[1
]}

机构：

[1] Univ Fed Fluminense, Inst Math, BR-24020140 Niteroi, RJ, Brazil

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 267卷 / 02期

关键词：

traceless tensor; Ricci curvature; mean curvature; MEAN-CURVATURE HYPERSURFACES; CONSTANT; MANIFOLDS; THEOREM;

D O I：

10.2140/pjm.2014.267.325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a previous paper, we generalized the almost-Schur lemma of De Lellis and Topping for closed manifolds with nonnegative Ricci curvature to any closed manifolds. In this paper, we generalize the above results to symmetric (2, 0)-tensors and give the applications for r-th mean curvatures of closed hypersurfaces in space forms and k scalar curvatures for closed locally conformally flat manifolds.

引用

页码：325 / 340

页数：16

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